How to find the center and radius of a circle in standard form

Learn how to graph the equation of a circle by completing the square. Completing the square will allow us to transform the equation of a circle from general form to standard form. When the equation is in standard form we can identify the center and radius of the circle to graph to then graph the circle.
⭐️New Video on Finding the Center and Radius - • Find the Center and Ra...
✅ More Examples of Circles - • The Circle in Conic Se...
👏SUBSCRIBE to my channel here: kzbin.info...
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#conicsections #circleconicsections

[@brianmclogan]

⭐New Video on Finding the Center and Radius - kzbin.info/www/bejne/jHLPkKyngZ2CerM ✅ More Examples of Circles - kzbin.info/aero/PL0G-Nd0V5ZMoFV7X4wyGdANKPgr_XLyu3

[@jamezzz9147]

do you have another example of finding the center of a circle and radius that has odd numbers sir?

[@xJackHunter]

why can this dude teach me more in 5 minutes than my teacher can in a 50 minute period

[@brianmclogan]

online is awesome!

[@btssuejibae8130]

The truest comment ever

[@kyucalyptus]

WavyJ SAME!! 😂

[@gabriellobo54]

pretty easy bro, in school the most of the teachers do not care their the subject

[@l0lgirl675]

because you actually want to learn

[@funnytrombone2013]

You have no idea how many college algebra students you are helping... big thanks!

[@brianmclogan]

just happy to be able to help

[@kevynduran2659]

Your doing algebra in college....sad

[@miseryfell6417]

Austin B. Lol I'm already doing this as a highschool freshman

[@kevynduran2659]

Y O I N K Yeah that’s the level your suppose to be at. When you get to college you should be doing calculus

[@JasonPhillip303]

Hey man we all learn at different rate...just work hard at it

[@fyisadeghi]

1:46 I hope Gavin really got this one

[@stopgnome9417]

Samantha this is why I’m in the comment section

[@vinz9695]

I hope I did

[@ylahadid7109]

Gavin de Dios 😂

[@jace2434]

It's Kevin I think

[@honeybeesyikes863]

Lmaoo

[@theradknight5638]

This was made 4 years ago, yet you still comment to people even now. You are dedicated! I have never seen someone actually come back to a previous video made more that 6 months ago, that replies to their comments to help them. This is very appreciated and I will stick around on this channel. Have a good day!

[@brianmclogan]

I appreciate everyone that comments, I can't get to them all but try really hard everyday to make sure to respond

[@blazeddddddd]

I have no idea why but how smoothly he writes like his marker is just floating over the whiteboard is oddly satisfying

[@khotsodhlamini8488]

FACTS

[@anonybunny2543]

Don't mind me in the sea of comments, just an 11th grader appreciating all the work and effort you put into this so we can understand a fun subject made dull by disinterested teachers, Thank you for your help Mr.Brian!

[@brianmclogan]

You are very welcome!!!

[@lizardlover9941]

Man this guy actually answers comments! What a Chad

[@IMakeAcapellas-tz5dr]

So true, maths has never felt so fun before I got the teacher I have now that genuinely enjoys maths

[@veeh]

7 years ago and this still helped me in 2020🥂 Thank you🙌🏾💯

[@kgt8742]

same

[@sukrityaathwal3423]

Same here!!

[@chaeryeongieisthebest2854]

2021 here

[@rajlakshmigarudi4775]

To me, in 2022

[@mirzaabdulhasankhan6132]

You can’t change math.

[@AndreaFaye13]

THIS IS SO MUCH BETTER THAN SITTING IN A 2 HOUR CLASS PRETENDING TO UNDERSTAND WHAT THE TEACHER IS SAYING

[@charger4299]

Bruh you really calling me out right now

[@brianmclogan]

If this video or many others was helpful, please consider letting me know with a "Super Thanks" above ⬆. I am able to read and respond to all my messages and thank you so much for your support

[@emiliotinoco369]

Thanks from Mexico. 🤘

[@jinorism]

Super duper thanks!!!!

[@Islamicteachinggs]

Sir

[@Islamicteachinggs]

Please help i think answer would be (2,-5)

[@macan5102]

@@Islamicteachinggs yes, just a teachers mistake to see if ur paying attention lol 🤣 On the contrary, I just saw that u have to inverse it, similar to how u find x, so its that simple, inverse it

[@brianmclogan]

hey great to hear I have been able to help. All of my conics videos are labeled "Module I" I will have them all labeled in playlists soon but in the mean time you can search for those videos if you need or if you want to see more videos I have conic sections videos for pre-calculus labeled in playlists 10.2-10.4

[@vallespinleonyc.1596]

Brian McLogan Sir i wanna learn more eventhough im not good at math

[@jaidenhilis9308]

Thanks for this one sir..i learned a lot.

[@CALISUPERSPORT]

4:50 The way he wrote 6....that's the devil's work, son.

[@CT--ck4mp]

That should not be legal

[@andrianicolas6873]

i wish this guy is my teacher, learned a lot from him before my examination day

[@_JustJohn]

I had Mr.McLogan as one of my teachers in high school (and wrestling/rugby coach) and he was by far one of my favorites. I have recently gone back to college and finding this video was a stroke of luck! Thanks for making this available it was great to learn from you then and it is awesome to still be able to use your videos for references!

[@yenah7792]

lmao just had a breakdown trynna learn this in school you have no idea how much of a lifesaver you are , honestly

[@k.m.parekh4697]

Mr. Logan, i learned this stuff a long time ago in a galaxy far far away. Since then i have forgotten. Last time i used it was while studying for the PE exam more than a decade ago. Now i have to relearn for my daughter's PSAT prep. Thank you for teaching the material in such a way that an old timer like me can remember. I am sure i will be viewing more of your videos for the summer and the fall semester. Keep up the great work my friend!

[@chelseavillalba6323]

love how straight forward and simple you teach!

[@RozeyH]

THANK YOU! I have a quiz tomorrow and this helped SO much

[@prettyboy9416]

How he get the 25?

[@eg862]

@@prettyboy9416 -10/2 simplifies to -5/1, when you square that it turns the negative to a positive equaling 25

[@Hanin5002]

10 years later, after studying with you during my middle and high-school, now i am studying for my uni test with your videos as well ❤️ I hope I can come here again during uni, you’re the best teacher out there for math

[@dragonflamexdoom3952]

this dude has the coolest teacher name i have ever heard of

[@19swaggkidd]

im in pre calc i swear my professor sounds like he speaks a different language teaching this

[@brianmclogan]

lol. Thanks

[@ethanf7719]

sameee quiz tomorrow and this helps big time

[@19swaggkidd]

Ethan F how did you do

[@lefthanded5473]

You do this in calculus?

[@winterrain1947]

​@@lefthanded5473 You use this in calculus, but you won't learn it there.

[@Lillith9008]

I wish I had you as one of my teachers. Very easy to understand the way you teach. Thank you for being so passionate about what you do -- it shows!!!

[@jackmayor4905]

It’s been 8 years and his help is still the best around. Now that is a great legacy. A few years from now I’ll still be watching his videos for help

[@quez9180]

This was made way long ago but hes still out here helping young minds this man helped me with so much i swear... thank you!

[@vvill-ga]

Lol with quarantine going on and online classes, my teacher is just sending me your videos so she doesn't have to teach anything. Nice work!

[@thusharaditya2026]

Good thing

[@potus1016]

HAHAHHAHAHA

[@misspriestess8665]

Our teacher just sends PowerPoint slides it was so frustrating

[@iliamorshed6556]

can I go to the bathroom plz

[@rir360memes]

Then you'll miss some part of the lesson.

[@PiperJSmith]

I don't know, "CAN" you?

[@Ducttapelovers4]

Ilia Morshed LMAO

[@wendywu5672]

Piperjama S shits on desk

[@wockhardt3]

@@PiperJSmith Ahh, I remember my school days. My teacher would rectify me innumerable times for not saying "May, I go to the bathroom?"

[@tommyfield2508]

Thank you for literally posting free education. I owe you so much for what you have done for me. You are one of the best math teachers I have had. Thank you.

[@jayasingh9110]

Okay so my parents pay $1000 every month to teach me...but I don't understand what's going on- and you always help me out...for free!!!

[@Squirrlys]

I really appreciate this video, especially of how you were able to explain the complete the square function. Simply dividing by two and figuring out the third number of the trinomial is SO much easier then when my college professor simply stares at an x2 binomial and simply says , " now what number do you think we should add to complete the square?" This is a life saver.

[@avamiranda8505]

Thank you so much! My professor doesn’t speak english very well and doesn’t explain things algebraically... so this is really helping!!

[@javiermorin1474]

you're a better teacher than literally all of my math teachers I've had in my life. Thanks so much for the help!!

[@franciscomorales8102]

Very simple explanation for something that can be perceive as complicated!! Thanks for the example!! Made my life easy!! Appreciate it!

[@craigjamieson6500]

He just explained in 5 minutes what my teachers couldn't over the course of two lessons bruh

[@lordyuuslittlelad8553]

Our teacher just shoves modules to us every week and now we have 13 lessons in total to study for our exams. Not to mention her modules sometimes have mistakes that she doesn't even correct and she doesn't explain how to do it. 🥰

[@study2116]

I have seen 5 to 6 videos but no one was able to understand like you, you have told in a very simple way, your method of teaching is very good

[@brianmclogan]

Thank you! I really appreciate that

[@ygfrt21]

Got a huge circles test tomorrow and now I’m feeling really confident. Great video!

[@lorev5440]

I don't think you will ever see this comment, but thank you VERY MUCH for getting me through a maths exam. You are my savior!

[@mahdialkhatib9037]

I never knew Randy Orton was so good at math!

[@marcusmvpgoat1236]

Doesnt rlly look like him

[@gomro_]

marcusmvpgoat 123 yes he does

[@marcusmvpgoat1236]

@@gomro_ randys eyes. Dont look like that

[@johnnyswag8502]

my geometry teacher freshman year was bipolar and insane and didn't actually teach geometry. She completely skipped over all circle relatied things and now Im here because I need to take the SAT soon. Thank you my goat

[@meganh5533]

I'm in precalculus now... your videos have helped me more than my past 4 professors ever did, your the reason I've gotten 4.0s in all my classes up to this point. My school should be paying you. Thank you so much! ❤

[@brianmclogan]

happy to be there for you Megan!!! keep working hard

[@HipHopIsLifee]

I literally have a test in two hours and this saved my life.

[@fascinatinglist9654]

College algebra ?

[@HipHopIsLifee]

fascinatinglist yup

[@supremejr.7575]

Who else is crying because they don't understand this and got all stressed out and is questioning why the frick there's so much workkk

[@omarabdelbary8126]

An easier approach is to divide 4x and -10y by (-2).. you’ll get (-2,5). Then you square root (-2) squared plus (5) squared - (-7) which will give you 6. Square the 6 and you’ll get 36. Now just put them in your equation. So it’s gonna be (x+2) squared plus (y-5) squared equals to 36.

[@supremejr.7575]

@@omarabdelbary8126 thankss

[@zhen1299]

@@omarabdelbary8126 Where did you get the (-2)?

[@omarabdelbary8126]

@Zhen In the method I use, we ALWAYS divide the two numbers after x squared and y squared by (-2)... in this case we divide 4 by -2 and -10 by -2

[@lizardlover9941]

Omar Bradley could you make this video with that explanation? Plsssssssss?

[@kimarilasalle2023]

I’ve been struggling in my pre calculus class and this is the first time I actually understood it!😂 thank you so much! You explained it so well

[@yungnoodledrip8885]

Yet again you have helped me immensely! My math class is 3 hours long so sometimes information is too much to take in, Looking forward to the next video when I'm stuck on a math concept I don't understand.

[@supergirl857dooms5]

I wasn't paying attention in our class the day it was taught and I have a quiz tomorrow so this just solved all my problems. Thank you!!

[@brianmclogan]

awesome! best of luck!

[@asimiqbal37]

send me ur number

[@1stPersonTutor]

Thanks for the demonstration. I've been learning this equation of the circle quite quickly.

[@brianmclogan]

awesome! happy to help

[@1stPersonTutor]

Brian McLogan I have a few tutorials of my own on my channel. I'd love to hear your thoughts on them. When you have time that is. Thanks again for helping me remember the h, K and r of all these equations

[@Wreckeem]

You're going to put me through college, I love you. It's 2021, I am a 25yr old who is still learning algebra. I needed this.

[@zekayman]

Here I am in Calc. 3 still returning to this amazing channel. Thank you so much for all the good work you do!

[@turtleturtles4919]

Wow, this was amazing. I guess he's teaching in a high school (because he is actually talking to the students), but this helped me a lot even in university. I wish my professors could be this good. This didn't take long but I learned a lot. My teachers are just rushing by with very little time, but they get less information and less education across in the same time as this man who is explaining everything, and doing so in a very good way. Helping me pass calculus from across the globe, you are a hero!

[@brianmclogan]

Awesome! love it!

[@kuroyoru3152]

i don't get it

[@alexandrafriess623]

Me neither, test tomorrow

[@Lyrics_world42]

It was so simple he taught effortlessly I'm a business student but i got it....

[@aspo2955]

@@alexandrafriess623text next period 😭😭

[@AKenneth224]

I do

[@charg1nmalaz0r51]

@@Lyrics_world42 well no he didnt really teach anything, he regurgitated a method that if you dont follow you will not understand. Hense you understanding and this other guy not understanding

[@watchmccloud5873]

Thank you Brian McLogan, I swear you teach me when my professor fails to. Keep up the good work

[@madeleinemensah4647]

OMG literally only 1 minute in and I understand so much better! This might save my GCSE for Maths. Thank you!

[@1_Minute_Gamer_51]

Legends watch this video in 2024

[@ian1697]

Can you wait two seconds 😂

[@brianmclogan]

haha yes

[@bethelakinyemi6978]

this guy can teach especially if you need som e quick help he's straight and to the point while still guiding you along the way

[@kelpyg301]

I was struggling on this, you have no idea how much this helped. Thank you so much.

[@rayyanayoub0]

Your explanation is amazingg🥺 I was struggling so much solving such problems in the SAT, but now I'm so flexible at solving. Thank you❤❤

[@sysylaelhip5240]

lol

[@williamsmiga7547]

Good job, Gavin.

[@brianmclogan]

seriously

[@veeslimedout]

you are such a help ! you make things so much clear & easy than my actual algebra teacher .

[@hi-us4mv]

Thank you so much! :D Couldn't have made it through my midterms without you!

[@tamircohen1512]

I'm not doing this until next year in math class but I love maths so I've learnt it now :) Thanks for the help.

[@brianmclogan]

you are very welcome! keep at it

[@liammichi314]

shut the fuck up. stop making people feel like shit

[@threem1085]

Liam Michi You have problems. . . He did nothing wrong

[@arko_0.0]

Liam Michi lmao I feel u

[@areebaamir7557]

can u explain how can we factor it out if x^2 has a term

[@evangelinetiapson9217]

Divide *both* sides by the numerical coefficient of x^2 before completing the square.

[@aunmaqsood8227]

@@evangelinetiapson9217 so we divide everything or just the x terms and the other side of the equation?

[@sonialemus2971]

such a great teacher, I have been watching his videos since forever and he's helped me a lot. Thank you

[@javiergarcia4533]

I have my math final tomorrow and this has helped me greatly, thank you so much for the videos, you're a damn exemplary teacher

[@ivanko_fr]

Thanks! I live in Ukraine and I got this example! Thank you for explaining and helping!

[@brianmclogan]

you are very welcome! Happy to hear from you

[@yourbigheadcousin5434]

i dont understand where the-2 and the 5 came from. i was with you every step and then whoosh to the answer

[@rushilsherieff3751]

idk if you still care but remember the equation is (x-h)^2 + (y-k)^2 so to get (x+2)^2 like the equation in the video it must be (x- -2)^2 since negative and negative is positive and using that same thing on (y-k)^2 to get -5 it must be 5 since positive negative is negative.

[@professionalocchiolist4104]

@@rushilsherieff3751 but how did he come up with -2?

[@lindttortillatime1005]

@@professionalocchiolist4104 i know this is very late but im guessing he square rooted (x^2+4x+4

[@professionalocchiolist4104]

@@lindttortillatime1005 thank you 💞💞

[@lindttortillatime1005]

@@professionalocchiolist4104 ok wait sorry. I just found out you have to factor out (x^2+4x+4). To factor, what makes up 4? That's 2+2. Second, what makes up 4? 2*2. So that would be written as (x+2)^2 :D

[@eziocornor5091]

You're a legend! You've no idea how much this video has helped me! Thank you so much Mr McLogan!

[@ibrahimhussein3755]

Watching this 2023. You saved me man, 👍 if only every teacher would have been as precise and to the point as this man

[@kklc1376]

thank you for this vid or else this question will be the death of my grade

[@perrystephens1411]

I would like someone to please explain to me how you got (×+2)^2+(y-5)^2 I don't understand how you came up with the 2 on the x side and the 5 on the y side

[@brianmclogan]

just factoring

[@gabbie0921]

@Dorainne Derigay I know the question's not for me but if you don't mind, let me help you. Well, returning back to the center radius form, which is (x-h)^2 + (y-k)^2, substitute the h and k with the answer you got, which is positive 2 and negative 5. It will look like this: (x-2)^2+(y-(-5))^2 Negative times negative is positive. Hence, the answer (-2,5). Hope this helped :3

[@slezzzy4916]

@@gabbie0921 were did the 2 and the 5 come from tho

[@klaymondcurrinspooney5240]

Yeah i dont get how you get from x^2+4x+4 to (x+2)^2. Isnt (x+2)^2 x^2+4?? It doesnt make sense.

[@gabbie0921]

@@slezzzy4916 It came from the factored form (x+2)^2+(x-5)^2. Thus, getting positive 2 and negative 5.

[@Hyperiotic]

Man, you just saved my life. I've been sick with Walking Pneumonia, and I have a test tomorrow. Thank you so much.

[@ashleyfranco6328]

I have precalculus this year & im learning this rn and didn’t understand for days but I watched this video a couple times & it helped me so much

[@PollyCrown04]

Wait I'm confused where did you get the 2 and 5 in (x+2)²+(y-5)² ? I got lost :// Edit: I understand, thanks !

[@exnha1137]

FARZAD thank you!

[@earljovhancameros2342]

FOIL method

[@4th19th2]

@@earljovhancameros2342 No. It has to be factored then apply perfect square formula.

[@4th19th2]

@@earljovhancameros2342 (a+b)^2 = a^2+2ab+b^2

[@4th19th2]

@@earljovhancameros2342 Factor our b^2 that is +4 we get 2.

[@raindad6681]

I do have terms in front of my quadratics unlike the problem in the video, what do I do lol

[@artofreusing10]

just divide the whole equation by the term (thats on the front of x),so that the x becomes alone. Then follow the same procedure as he did

[@artofreusing10]

or u can factorize and stuff but thats a complicated procedure lol

[@StvrryJ]

It is still helpful even after years later, like my teacher would keep talking too fast and before you know it there's like a bunch of equations,number, fractions written and I leave myself clueless and this guy makes it easy to understand within minutes bro... Man to have this teacher would literally make me ace math easy.

[@budakiarcher]

This helped me pass my math test for college. Thank you!

[@bengisuyavuzz]

Very effective and understandable. Thanks!

[@humannt468]

Thank you so much, this really helps a lot! You teach better than any other teacher I've ever had.

[@danilyndimanalata2679]

Though this video was 7 years ago, it has really helped me a lot today... I wish I was your student Sir! Thank you very much! I'm really learning a lot more in YT than in class...

[@yebbytail]

Can't believe good math teachers like you exist, good work

[@mr.goodergaming9460]

This man is single handedly carrying me through college math.

[@Thecyberknight1]

Your explanation of the balancing out of the equation needs work, that was confusing as all hell and I know I'm not the only one

[@kasrych]

thank u so much i forgot how to do this and tomorrow is my periodical test here in the philippines. This will help me a lot thank you! wish me luck

[@dhruvkotecha8843]

absolutely perfect video. thanks!

[@DelphineIgnia]

Thank you so much! I have midterms coming up and was struggling with this

[@cambokid16]

straight to the point thank you!

[@minecraftpro8492]

This makes so much more sense THANKS YOU

[@shainabanana4800]

So happy to find your channel! We'll be having our preliminary exam tomorrow and calculus is our first subject, and I really need to study this! THANKS A LOT!😘

[@brianmclogan]

you are very welcome! happy to be there for you!

[@mojoryse7836]

Carried me through middle school, highschool, and now college lol. thanks Brian 😎

[@ladoucemefo9770]

my score in maths has increased thanks to you. your students have soooo much chance having you

[@jamramirez36]

This is sooooo helpful for my acceleration exam!👍

[@bryanmw2265]

OMGGGG i have exam 2 days later and i am stuck with equation of circle and this video just clearly explained everything!! Superb Thank You so much!!!

[@kirztenabbyo.bautista5615]

Got it so fast! Thank you for the great teaching, sir

[@jmsygaco8063]

Thank you so much! I'm a freshman on engineering and Im having trouble with online class. This helps a lot.

[@Norday]

incredible explanation!!! thanks from Brazil

[@tank0792]

Your channel has saved my life thank you man

[@aiiiia9971]

Ah, thank you! That helped to alleviate so much miserable confusion!

[@redacted2513]

This gentleman has been one of the best teachers I've ever been taught by, and I've never even met the guy

[@himanshtilani1239]

THANK YOU SO MUCH I FINALLY UNDERSTAND!! I'm trying to help this person who is older but I couldn't understand and now I do so thank you so much!!

[@53cards92]

Much more helpful than my teacher. Thanks