CIRCLE THEOREMS: How to solve different Circle theorem problems

This video is a tutorial on Circle Theorems. Please make yourself a revision card while watching this and attempt my examples. To get full information about the different theorems applied in this video, go straight away to my video on the introduction on Circle Theorems • CIRCLE THEOREMS: How t... for foundation review. Explanations are aimed at being as simple as possible
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Simultaneous Equation • Algebra 1: Simultaneou...

[@afolabiodunaiya8941]

Ooh my gosh u are the best I have exams coming up and I couldn’t understand a thing I was soo lucky to find this before my exam thanks I now get it

[@ICOMATHS]

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Mi too

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[@ICOMATHS]

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[@ICOMATHS]

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[@ICOMATHS]

Thank you so much to hear you find this video very useful

[@ruthsemeki8405]

I can now solve questions on circle theorem without any problems after watching this video. I am kindly requesting if you can make a video to show how to answer questions on variation as well.

[@theearthisreal2753]

This video was so helpful ! I loved the way you explained this so easily. I have an exam in a few hours and I finally understand circle theorems. Thank you !

[@ICOMATHS]

wow. so happy you found the video helpful

[@vandanaparanthaman9782]

Can get the pdf pl

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[@ICOMATHS]

Thank you so much for letting me know. I appreciate it very much

[@cringecreatedtoday6499]

Thankyou so much, solving theoroms have always been a struggle for me. This video helped a lot!

[@ICOMATHS]

Thank you so much for letting us know. I appreciate all

[@zohaasim7725]

THANK YOU SO MUCH! I always had trouble with circle properties and this helped me so much to gain confidence and learn all the properties! Such a great video!

[@ICOMATHS]

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[@RighteousAsamoah-fg9kf]

You know what you teach and teach what you know sir . God richly bless you 🙏

[@ICOMATHS]

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[@GamingofSausage]

Your lessons helped me over 4 years, thanks alot

[@ICOMATHS]

I am happy to hear this helped you. God bless

[@trinityhamied]

I would recommend watching Kerwin Springer video on introductory to circle theorems, and draw all 8 theorems. Then do the practice exercises here. It will be much simpler. Also for some of the theories just use the alternate segment theory which takes no working you just have to look and put the answer.

[@trinityhamied]

The alternate segment theorem is the angle between the chord and the tangent is equal to the opposite angle inside the triangle.

[@thehow-2guy874]

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[@ICOMATHS]

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[@ICOMATHS]

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watched the entire video , found it helpful and thank you very much , god bless you

[@ICOMATHS]

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[@mantosh56]

Damnnn this vid is quite good for covering questions of the topic!!! Thanks a lot of this vid ☺️

[@ICOMATHS]

you are welcome

[@yashitakhatri5718]

Thank you so much for this video, it had strengthened my conceptual understanding of circles!!

[@ICOMATHS]

Wow

[@kymani325]

wowwwww these practice questions actually helped ALOTTTTT

[@ICOMATHS]

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[@user-bs8dn9sj7f]

i give thank to GOD for meeting this great mathematics lecturer. Sir thanks you for expanding my understand on circle theorem. In all the topics of maths circle theorem is my problem but by meeting it give fit to challenge circle theorem

[@ICOMATHS]

Wow , thanks so much for the feedback,

[@hloniric1088]

this video is so helpful and i can see some theorems you did apply like exterior angle of a cyclic quad

[@ICOMATHS]

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[@ICOMATHS]

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I read some of the comments about this Vedeo and I agree with them that you are an excellent teacher. All the best 👍 and happy new year 🎉

[@ICOMATHS]

Thank you so much

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loved ur video...easy and fun to understand✌🤞

[@ICOMATHS]

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[@neha_reddy121]

using this the day before the exam... and i finally get it!

[@ICOMATHS]

wow

[@user-oz5fj4jp4w]

i am a bit too late, but i found your video extremely enjoyable and very resourceful!!! Thank you so much for the help!!!!

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[@alhajiswarraymoiwah6740]

@@ICOMATHS please sir help with proofs of the theorems.

[@ICOMATHS]

@@alhajiswarraymoiwah6740 Thanks for your question. I hope one day to do this

[@ekehchinwe2153]

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[@ICOMATHS]

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[@JUSTLEARNNEW9]

For one of ur sum D value is 90°.because of semi circle.then we need to add 25+90=115°.then 180-115=65°.because the sum of interior angle of triangle is 180°.

[@ICOMATHS]

Please can you cite the timeline to enabe me respond

[@user-du3fi6oz1k]

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[@ICOMATHS]

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[@ICOMATHS]

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[@ICOMATHS]

Thank you for your inquiry. I use Wacom pen and tablet www.wacom.com/en-us. You get better writing with it when you use it every so often. I think practice make it easier

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[@ICOMATHS]

I am so happy to hear you find this video helpful. Wishing you the best in your exams

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Wooow I really enjoyed this video. It was fun as if were matching pieces of a puzzle. You could hear me shouting "that angle,that angle, yes that one "🤣 oh my . ...i now understand this topic you got yourself a happy subscriber .Stay blessed teacher 🙏

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Glad you enjoyed it!

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Thanks alot bro,this helps,I have a test tomorrow for 30marks. This helps me to inderstand some of the theroms and how to solve them. Thankyou brother.

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Thank you so much for this feedback. I am so happy you found this viodeo helpful. Wishing you the best in your test

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Txs

[@Speedy_Ethan]

Could the one at 53:38 be solved by the rule that the angle at the center is twice the angle at the circumference or would that only work if the angle was in the triangle (in a different triangle since the rule does not apply to the same triangle)?

[@ICOMATHS]

Thanks for your question. I presume you may be asking how the value of n is solved. To use the circle theorem, that is, angle at centre = 2 x at circumference wouldn't suffice to give the solution for n. You will have to consider and use the circle theorem which state that the angle between tangent and radius of circle is right angle to solve it

[@Speedy_Ethan]

@@ICOMATHS Thanks for the answer. I fully understand the theorems (thanks to your previous circle thereom video and practice in this one). I just was bringing it up because the value of n (81) was half the value of O (162), and n was at the circumference.

[@ICOMATHS]

@@Speedy_Ethan thanks. your observation well noted

[@JUSTLEARNNEW9]

Sir I am not understand alternative angles are equal .pls explain me sir

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Thank u sir it’s well understood and appreciated

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You made my day Prof

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[@ivanmitkov6904]

The video was amazing and helpful I learned so much things😁.

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[@bakhanyamoropa5463]

Hello at 22:2 I used the angles round a point and you used the cyclic quad but I got 35

[@ICOMATHS]

at the timeline cited, i dont think i used the cyclic quadrilateral theorem. perpharps you may cite the exact timeline for me to see exactly where you are referring to. Anyway thank you so much for your feedback. They are appreciated

[@Bobbyaf]

Good job...but one slight error. At 44:55 the third figure isn't a cyclic quadrilateral inscribed in a circle. The figure inscribed is a 5-sided one and therefore cannot be used to determine angle 46 at the top. The angle of 134 does not belong to the cyclic quad.. To derive the 46 degree one would have to extend 2 radii from the centre to meet the chord above angle 134 degrees....and then find the reflex angle at the center which would be 2 x 134 = 268.....we then use the other angle at the center at the angle being 92. to derive the 46.....

[@ICOMATHS]

Thank you so much for the spot on the minor error. I appreciate your feedback very much.

[@RighteousAsamoah-fg9kf]

This video helped me a lot 🙏. Circle theorem made easy ; thank you 😊

[@ICOMATHS]

wow

[@nonimaranga4729]

at 15:02 what is the reasoning for question b (workout the size of angle APB)

[@ICOMATHS]

Thank you so much for the asking, I just realized i didn't add that to the original video. Anyways, the reasoning for the angle APB is this : ANGLES IN A QUADRILATERAL ADD UP TO 36O

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Thank you so much ,this topic has been a real pain for an ibmyp student like me.

[@ICOMATHS]

gracias

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I have never liked maths teacher but you

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Thank you so so much @OsmanNafisah

[@OsmanNafisah-eb8qo]

My novdec maths paper will be on 25th of this month but I just know that I'm going to fail because I had no understanding on maths 🙃

[@ICOMATHS]

@@OsmanNafisah-eb8qo i pray you do well. Never give up. There is still much that can happen in your favour

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Thank you sir for explaining

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Helpful video, much appreciated

[@ICOMATHS]

Glad it was helpful!

[@abdulah92]

Very Helpful vedio Thank you so much Sir

[@ICOMATHS]

Thanks alot

[@theearthisreal2753]

Hey for the question in 9:07. TO solve DEB, Instead of doing what you did could you also do 180-90-65. Because an angle in a semi-circle = 90 ?

[@ICOMATHS]

Yes you can. However, the correct order will be 180 - (90 + 25) = 65

[@matinkhosravani4394]

Great vid but in the last question of all, should w be 99 because it is a cyclic quadrilateral? 81+99=180

[@ICOMATHS]

Thank you Matin for this question. I have followed your question but in the last video you will notice there is no where the diagram suggest cyclic quadrilateral in it

[@bandarusatyanandachary1181]

There is therum. Angle subtended by an arc of circle at its centre is double the angle subtended by the Sam arc at remaking circumference. X = 110 Degrees and angle at C = 70 degrees

[@ICOMATHS]

Yes, you are right

[@sheri-annashman3518]

Hello, I have a concern. For number 9) where you are asked to find r and s I understand how you got the 23 and the 70 but for s wouldn’t you add the 70 and the 23 seen as angle s is from the quadrilateral and then there is a little part in the triangle?

[@florencewilkinson1152]

just got to this question myself and had exactly the same issue - i'll let you know if i figure it out but i'm kinda shite at circles so don't get ur hopes up x

[@ICOMATHS]

Please can you cite the timeline on the video for me to respond quickly

[@fahadalhajeri3015]

@@ICOMATHS 43:46

[@judiyasser6520]

At 5:54... arent the angles aod and abs both substended by the same arc/are in the same segment so they're both equal?

[@ICOMATHS]

Thank you so much for the question. it seems so but not quite correct. Angles AOC and ABC are not on the same segment. Infact, angle AOC is not on a segment at all. it just subtends an angle at the centre O.

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You are the best💕

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Thank u sir this help me a lot

[@ICOMATHS]

Much appreciated. Thank you for letting me know

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thank you sooo much now I understand it

[@ICOMATHS]

we appreciate this feedback

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This is very informative

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[@ICOMATHS]

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[@user-tt2qd4tx9h]

Good teacher 😮❤

[@ICOMATHS]

Thanks

[@goitsiona1130]

44:07 why did you say 180-134 when it's not a cyclic quad ? A cyclic quad has 4 points on the circumference but in this case you used a Pentagon , why?

[@ICOMATHS]

Thank you for spotting this error. You are right.

[@samuellewis_i]

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[@edithiyengumwena3823]

Thank you sir,you're the best 👌

[@ICOMATHS]

Thank you so much for the feedback. its much appreciated

[@bhupendrajain2080]

45:38 S will be 70 + 23 as it is not cyclic quadrilateral but a pentagon what he is taking

[@ICOMATHS]

Thanks for spotting that error in the working. Yes, it was a Pentagon and definitely not a quadrilateral Much appreciation 💛

[@bhupendrajain2080]

Your welcome and also nice explanation sir Helped me a lot because I didn't understand these

[@bhupendrajain2080]

A request from you is please correct it by pinning so that people know it

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This video is so helpful

[@ICOMATHS]

Thank you so much

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Helping a lot

[@ICOMATHS]

Wow, thank you!

[@TolibasEzekiel]

In 44:40 I think the value of s is 93 degrees since in the figure 9, the measure of angle s includes the measure of r. so 70 degrees plus 23 degrees is 93 degrees

[@ICOMATHS]

You are absolute right, Thank you for pointing this out.

[@kotryna5979]

THANK YOU YOU ARE AMAZING

[@ICOMATHS]

Thank you so much

[@jonahmiti2316]

Thank you may God Bless you

[@ICOMATHS]

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[@ICOMATHS]

Thanks alot