[December SAT Math] Every SAT Circle Question Types - Summarized + Practices

[@JohnSAT]

Yes, these materials are still tested on the digital SAT. If anything new is added, will create a new video. Guys, so I don't know what I was going through that day but the correct answer to the first question is 8. Ignore the little 4's added in and just follow the audio (what I say in the video) . 🏆 3-Step To 700+ On SAT Math Without Naturally Being Good At Math [Free Masterclass] www.admissionhackers.com/free-training-summer . 📚 SAT Math Accelerator [6-Week Prep Course]: www.admissionhackers.com/sma

[@nhproductions1895]

i was solving and waited for your answer, then i saw 4 and im like shit! i started breaking my head over it coz the problem was too simple, then i saw this, lol XD

[@barrydavis331]

At 4:08 consider simplifying left side by merely canceling 2 and 1/2 instead of multiplying both stude by 2. This gives you r pi = 8 pi.

[@zia3470]

Can you pin this comment I looked all over the comments for this

[@jarret9438]

I thought I was trippin. I was like “dafuq am I doing wrong” cause everything, including the method you showed, gave me 8.

[@Mimshack-qb7bl]

Thank you so much

[@prod.theozim730]

that is the best intro ive ever watched

[@Kiitanseditopia]

Honestly😂

[@AlejandroM254]

Literally 😂💯🔝

[@wajeeha9911]

this man teaches with personality, we need more like u

[@JohnSAT]

thanks!

[@JohnSAT]

There's a little mistake for #1 (4:14) - Ignore the red 4's and just follow to what I say & write on the screen. The answer is 8.

[@RupkathaRahman]

Gosh I thought I had lost my mind haha

[@factidraw]

I was so confused for a sec…

[@jeswanth.v2477]

Bit lazy of you

[@kates2469]

someone was sleep deprived while editing

[@worthplayingfor2197]

I KNEW IT

[@aishwaryaiyer7796]

for the first q, the circumference is just 2 times the arc length, 2 x 8pi = 16pi. so 2 x pi x r = 16 pi, therefore r = 8. much easier!

[@somethingdifferent4115]

Hey the ans is 8 r8? Why did he said it was 4?

[@aishwaryaiyer7796]

@@somethingdifferent4115 the answer is 8, it's a mistake in the video (see his pinned comment).

[@nanatako_fia9312]

Can you explain why 2 x 2pi is not 4pi and still stays as 2pi?

[@fazebugatti988]

i mean its the diameter so i said 2pi(r)/2 cause its one half of the circle and i got pi(r)=8(pi) so r=8

[@intelblox7354]

you can just use r * theta = arc length (make sure to convert the theta to radians tho), its much quicker

[@zoecetkovic8347]

bro, you deserve a nobel prize for this serie of videos. You're helping and saving lives lmaooooo

[@JohnSAT]

🙏

[@cecio7039]

please he's so dramatic i love it

[@tylermorris8856]

example 1 (3:14) becomes even easier if you use s=θr for arc length where θ is in radians. 180° is equal to π radians, so you end up with 8π=πr for your equation. if you know this, then getting the answer becomes much easier because all you have to do is divide out π. 8π/π = 8, the answer is C. if you're familiar with radians i'd definitely recommend you use them for problems like this example 2 (7:25) also becomes easier if you know that 120° is equal to 2π/3 radians. if you keep the radius as 96/2π and plug it into s=θr, you get s=(2π/3)(96/2π). 2π cancels out and 96/3 is 32.

[@bestselfimprovement3]

What does that mean?

[@tylermorris8856]

@@bestselfimprovement3 radians are a different unit for measuring angles and if you know what they are and how to use them the first two examples in this video become easier and faster to solve

[@Capesoda]

@@tylermorris8856 this works perfectly, and if you prefer degrees make sure your mode of your calculator suits, as well as keeping in either degree of radians, I can see you took pre calc definitley

[@jakammor4449]

The benefit of using radians is nullified by the fact that (I'm pretty sure) the SAT never uses radians on their questions. Radians get introduced in pre-calc, which is outside of the scope of the SAT. So if you wanted to use radians, you would have to convert to it from degrees. IDK about you, but that doesn't seem worth it to me.

[@tylermorris8856]

Yes, but if you work with radians you end up memorizing a bunch of values and their degree equivalents. If it's not worth it for you then don't do it but if you can convert quick it's faster. Case in point, this question uses 180 degrees. That's literally just pi no conversion necessary if you know anything about radians

[@sreshtaloka1287]

in case anyone's confused about the problem at 0:44: you have to use the properties of quadrilaterals as well as the inscribed angle theorem to set up an equation and solve for x. all the inner angles of a quadrilateral add to 360 degrees, and the inscribed angle theorem says that an inscribed angle (angle with the vertex on the circumference of the circle) is equal to half of the central angle subtending the same arc. this tells us that a=x/2, and knowing that P=360-x we can set up an equation to solve for x as follows: 20+20+x/2+(360-x)=360, which simplifies to x=80. hope this helps!

[@cruzmaldonado9897]

So P can be thought of as an angle?

[@DontAsk12]

@@cruzmaldonado9897 no p is the point

[@alerod4296]

what worked for me is that I created a new line segment by connecting point P to point A. Line A creates two isosceles triangles on either side of point P. Becuase both legs of the icoscesles triangles have the same angle, I was able to to find that the triangles vertex is equal to 140, as s 2(20)+x=180. then I used the vertex's angle to find the value of x by doing: 2(140)+x=360 which simplifies to x=80.

[@fazebugatti988]

@@alerod4296 changed my persepctive

[@theclowns3261]

I’ve been struggling with circles for sooo long. I’ve watched multiple vids and non of them helped besides yours. THANK YOU SO MUCH!!!

[@JohnSAT]

Exactly what I'm looking to hear!!! YOU ARE VERY WELCOME! GOOD LUCK

[@sowo7136]

A little shortcut for 4:43, C represents circumference = 2 pi x r or pi x diameter. The Arc length: Circumference multiplied by the angle over 360. Basically 96 x 120/360 = 32. There's no need to do the extra.

[@timothee5697]

feels like he's trying hard to make us understand! appreciate it man ❤️

[@JohnSAT]

Appreciate ya!

[@Cristianoronaldo-hy2eh]

One more tip. The kite type figure is called a cyclic quadrilateral and it has a property that opposite angles are supplementary ie if that was 60 the other ones 120 straight away

[@user-up4xr5ye4b]

@Saien Phlad There are 2, 90 degree angles in the quadrilateral. Since they add up to 180 degrees, we can assume that this quadrilateral is cyclic.

[@user-up4xr5ye4b]

@Saien Phlad Well yes, but honestly you could just tell from a glance that it's cyclic. It saves a lot of time.

[@speechlessdiary3522]

For the ones confused, the answer for Q. 1 is actually 8. Not 4. The correct answer is option C, which is 8.

[@TheClashMaster]

thank you i was super confued why he changed

[@p1nkflam1ng0]

math has been my best subject in everything for as long as i can remember but these SAT math questions screw me over so bad to the point my R&W scores are unbelievably higher. so thank you for making these life changing videos because my whole life depends on this score, literally.

[@yuno6697]

same here lol i couldn't believe that my english grade was way higher than math but im working to improve it this august

[@hyua6841]

Only a couple days now!@@yuno6697

[@junaidzia3242]

TIP- the circle characteristic question- there circumference is already given. So you don't need to find the radius. Just plug in 96 where 2pir is present. As circumfrence=2pir.

[@mariasamoo4083]

I genuinely wanna thank you, you put efforts into your videos and honestly I don’t know what would i do if you didn’t make these little videos. They have helped me immensely. I don’t stand a chance when it comes to maths but I guess that’ll have to change now lol ❤ thanks man!

[@MiCicovers]

the skit at the beginning was gold, thank you so much for the help!!

[@oikawaspeach_7165]

my guy ur literally saving my life ilysm

[@NneomaIjeoma]

This intro is so enticing It makes you want to watch the video till the end. I really appreciate how well you teach Thank you

[@immaculatechidera8727]

For the first question, just use the formula for calculating length of an arc but in radians not in degree => Let angle = § r§ = 8x pie In radians the angle § = pie so those two cancel out Hence, radius r = 8

[@FreeYSL8]

i just plugged that bad boy into desmos and it came out as 8 is the diameter making 4 the radius so he was right

[@pengwino828]

I appreciate the intros and personality actually making the video engaging

[@Hamma_adnan]

Bro, you've just described me in my practice questions

[@sandeepbagalkar3011]

Hi, when the circumference is given , then there is no need to find the radius. Just plug the value in the formula for length of arc

[@gauranga6033]

bro r should be 8

[@n-kay9676]

I cannot thank you enough man, literally a lifesaver!!

[@gauravnath8926]

yo yo you commented a week ago ... i wanted to ask you when are you planning on writing the SAT ?

[@n-kay9676]

@@gauravnath8926 I’m sitting on August 28. The only reason I’m taking it this early tho is because I’m required to for a program. Only had around a month to prepare;) Wbu?

[@gauravnath8926]

@@n-kay9676 so basically i still have not decided as i havent registered it yet.... looking for a comfortable month to write the exam ! well when did you start your prep for SAT ?

[@n-kay9676]

@@gauravnath8926 well I just finished a five-week sat course and I guess I’m sitting in August because I figured I should take it while the info is still fresh yknow. Btw, I registered for October as well ( I need a decent grade by December). For you, how long have you been studying? Are you required to take the test as soon as possible or is it flexible? Nevertheless, I suggest you take it in August and try your luck! After all, you can redo it as much times you want and there’s still enough time for the August exam! :)

[@n-kay9676]

I forgot to mention, I’ve heard that the grading is going to be lighter in august and brutal in may and October, I’m not sure if this is accurate but better safe than sorry

[@kunalchand1925]

literally if i am going to get a good SAT score , you would be a big reason behind it. 🙏

[@orchid296]

I answered the first question in my head. If half of the circle is 8pi, then the other half of the circle is also 8pi, which means the area of the circle is 16pi. Then, I just put that into the equation for the area of the circle (A=pi r squared). Then, I just divided each side by pi (the answer is 16) and square root 16 to get r (the final answer is 4). I think this way is easier and faster but maybe it might not work for some people🤷‍♀. Anyway, this was an amazing video i really had some problems with circles before thanks!💗

[@kimhyung9243]

My SAT's tomorrow and this video is the best thing that happened to me:))

[@josephkhayyat4162]

What did you get on it?

[@kimhyung9243]

@@josephkhayyat4162 i got 1300

[@josephkhayyat4162]

@@kimhyung9243 aye congrats

[@kimhyung9243]

@@josephkhayyat4162 thankyou

[@annablueseas]

thank you so much!! these types of questions are my biggest weakness on the SAT. appreciate your help

[@feryal5909]

thank you so much i always had difficulties with these type of problems, now i finally understand them. i also have the sat this saturday the 13th im extremely nervous.

[@mashroom2927]

I've just copied your math formula pdf to my note book it was pretty helpful to get me familiar with what you were saying here

[@isayaamos7390]

Well explained with a brief overview of the the Equations. Very informative

[@no-one2690]

at 7:44, you can just substitute 96 for 2pi*r istead of finding the radius

[@cctang4922]

The first question can be solved by using the arclength formula s=r*theta,where r is the radius and theta is the angle measured in radian. Since the arclength is 8pi and the angle is pi radian, by comparing to the formula, the radius is 8.

[@lara8404]

YOU ARE A GODSEND. THANK YOU SO MUCH FOR THESE VIDEOS!

[@JohnSAT]

LETS GO FOR THAT 800

[@gabybeckman8090]

You are literally a life saver

[@exservicemanjob372]

Simple tricks for the ques For the first ques 2(pi)r=8pi R=8/2=4 For the second ques just know that the a angle substended by the tangents is half the angle at the centre by the same arc

[@factidraw]

Although using the degree based formulas still works, I think using the radian based formulas is more time efficient and intuitive. Arc Length = s = (r)(angle in radians) Sector Area = A = (½)(r^2)(angle in radians) Even if you have to convert from degrees to radians, I think it’s still faster and the numbers you get are smaller which leads to fewer simplification mistakes.

[@JohnSAT]

interesting! thanks for sharing :)

[@Vikram_Bezawada]

bro this was so helpful. I get so many of these wrong and I wasn't sure how to solve them. Thanks so much

[@IfyPatrick-ew9lj]

Thanks so much i have my exams on December

[@megalasivashankar]

Thank you so much. i feel like i have a chance at SATs now. you r a lyf saver bro!!!!

[@hannahrock4220]

Thanks for explaining this so well and making it funny! This really helped me! 😊

[@rkMeghana]

hey John, whatever I try the radius equals 8 in question#1. But the video corrects it saying it's 4. I just want to make sure if it is correct. I really love your videos. I am so nervous right now, MY SAT IS TOMORROW!

[@jarret9438]

8 is correct. He said it in a comment

[@jarret9438]

Had the same problem

[@OneHour5]

guys for the first question theirs a even easier method to solve it in my opinion you can set up a proportions to find the entire circumference of the circle. the first thing you do is write a ratio saying 180/360 is equell to 8pi over x and u cross multiply and u find the circumference of the circle then you can use the circumference formula witch is 2piR and solve for the radius and u get 8

[@DoniaAhmed-f9d]

Mister you are amazing!! but I didn't understand what you did in the first example(Arc Length) why did you multip. 2 to be 4

[@e-records5771]

For the first question, you can just do that 8pi = half of the circumference = (2piR)/2 , yields R = 8!!

[@iphalse6281]

I just found your channel from a reel on KZbin and you just earned my sub because you make math extremely easy and your amazing please Do calculus Integral’s I would greatly appreciate it

[@jasminehasan7084]

for the problem shown at 5:40 you could also solve it visually! as someone bad at geometry, i like to just see that section LNO is about 1/3 of the circle so then 96 divided by 3 would be 32. it happens to be the answer! :)

[@jasminehasan7084]

only if its drawn to scale!

[@joshilvaddi2868]

Thank you so much for making these videos

[@sevinchxoshimova2600]

Hello My dear teacher. I got nearly the whole concept about circles. Btw, the beginning is kinda same situation when i faced in circle ⭕ questions But not from now on. Thank you so much again. You rock. ✊✊✊✊✊✊✊✊🙂😊😊

[@timestamp2979]

First example is easier if you use the radian version of arc lentgh formula: s=r * theta

[@adhamfathy9626]

First question, We could have said: πr = 8π Therefore the r is 8 🤔

[@alukodemilade4116]

God bless you❤️

[@loveprimetimepokemon]

me watching this for my oct sat tom bc circles flamed me last week on the sept sat LMAO

[@MateoF12]

This video was really helpful Thanks

[@teressa459]

7:56 or you can just do it the easier way. We all know that the formula to solve for arc length is (2πr • θ | 360). You already have the angle at the point of intersection which is 60 & you have the circumference which is 96 and is technically the (πr) in 2πr. Now just plug in all the values in your calculator. It is going to be ( 2 x 96 x 60 divided by 360 ) = 32 :D

[@anushkakujur-r4g]

thank you teacher very helpful video😇😇😇

[@nguyendaiton8037]

I love the intro, you r the best

[@bellaparis2318]

this was super helpful, thank you for putting it out there!!!

[@sana1279]

Never clicked a video so fast

[@JohnSAT]

😂😂😂😂

[@CamillaTindanbil]

you are wonderful, keep it up. love u

[@OLUWASEUN001]

Thanks I really love what you doing❤

[@coppellgirl]

Extremely useful! Thank you

[@JohnSAT]

Glad to hear that. You are welcome. Good luck man

[@Cr1Ro7]

Intro is amazing

[@jaya8571]

ur a life saver

[@willieow3298]

l just love the first 2 mins!

[@willieow3298]

and w/ a matching shirt! ''EMORY''

[@ymirsrage]

Tomorrow's my test day....I've been averaging around 1500 plus...I hope I can get a 1580..

[@BinodSubedj-wp4uz]

IN FIRST question you can also apply this concept ADB Is 8pi which is half of circumference 8pi=2pir/2 Simple as that

[@aarnapareek2342]

Your videos are really helpful

[@Arcticneo_]

BRILLIANT video

[@JohnSAT]

thankssssssss glad you liked it 😀😀

[@BeatrixBethapudi]

in question 1 r is acutally 8

[@toluwalopeabegunde4990]

You are a real g man

[@emmanuellaeledu]

Thank you so very much, Sir!

[@JuliusSawhney]

24 is C

[@alatusedits]

I am also taking the Sat rn😂

[@Простойчел-ы5г]

I want you to be math teacher in our school🙏

[@tomomafuy]

the intro is me on the practice tests before this video

[@AbboschikAbduboqiyev]

nice and clean man , keep it up

[@foshe]

I should not have watched this 1 day before the sat but we ball

[@adityaaysola9708]

For the arc length question, all I did was use the C=pi*D formula. Since a diameter cuts the circle in half, and one half of the circumference is 8pi I just plugged that into the formula. So it would be, 16pi = pi*D. Then, you would divide by pi on both sides to get D = 16. Radius is 1/2 diameter so just do 16/2 = 8. Would that be an acceptable way of approaching this problem?

[@sowo7136]

I had gotten the same answer so much easier.

[@qorcegt3089]

this video saved me

[@alwaysincharge5450]

Bro you are beast

[@hooryazar1038]

the background music is so disturbing man. but great teaching!

[@vishu1334]

0:50 is the value of x = 80 degrees?

[@JihanKapur]

Can you go over the proportion that are used for circles

[@zopittybopbop4467]

That helped a lot thx a lot

[@Obaid-Ur-Rahman342]

In the first question. Should the arc be the length of DB?

[@ELTHEO1]

thanks a lot!

[@ecyranot]

Quick note. On question 2, you could have skipped some steps by noting that the central angle is twice the exterior angle of 60 degrees. I'm pretty sure that's a theorem.

[@harkiratsingh5168]

Please upload more videos of questions related to every topics and refer some books for the Indian students

[@IfyPatrick-ew9lj]

Thank you

[@ramziadem7959]

i love the acting lmao best intro ever

[@mattkarbarz3923]

Thank you. 😁

[@sean8304]

god bless you bro

[@gurnoor1935]

thankyou so muchhh

[@christianawashington1395]

Hiii, i watched all of these videos took notes and studied hard with other resources too but mostly these vids honestly thank you it was so much help but i think some of the 21 vids werent very helpful and just a waste of time(no offense) because it wasnt on the test i think there are some topics that maybe you can go over more. Btw ij took the test this morning lol some vids def helps too. ill see my score on the 6th wish me luck!!!🤞🏾

[@JohnSAT]

hey no offense taken. Which topics were the most helpful for you?

[@lucaspenha4046]

beautiful intro

[@sync4209]

LIFE SAVERRRRRRRR

[@yara4591]

can i please know more about the characteristics cz u didnt talk about them, even in the lecture

[@TheGeniustudents]

Cool video