Area of a Segment in a Circle

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Learn how to find the Area of a Segment in a circle in this free math video tutorial by Mario's Math Tutoring. We explain what a segment area is and go through and example using different formulas.
0:18 We discuss exactly what a segment area is in a circle
1:05 Example 1 finding area of the segment
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15 сен 2024

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Комментарии : 220

@MariosMathTutoring 5 лет назад

Like this video but want to learn more about finding the area of a sector? See the video I did here on area of sectors: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-nDVUcqqwPJA.html

@henrylaird9028 5 лет назад

Cheers. Really helped me!

@MariosMathTutoring 5 лет назад

Glad my video helped you Henry!

@ishaankhanna5774 4 года назад

Dude I saved 5 marks in my test thnks man

@delcreme 4 года назад

you explained it a lot clearer than other videos i've seen. thank you for including another way to solve it other than the 60 90 30 way.

@MariosMathTutoring 4 года назад

You’re welcome! Glad you liked my explanation!

@bedwars1013 4 месяца назад

Saving me right now, I have my exam tomorrow and this is the thing I just didn't remember from class.

@lorraineaylward8167 4 года назад

Ok, I'm 58, returning to school, you are saving my life

@MariosMathTutoring 4 года назад

Glad my videos are helping you Lorraine!

@jennyjenjuice 4 года назад

YOU'RE A G THANK YOU SM this just saved me from failing my online quiz tomorrow thanks homie

@MariosMathTutoring 4 года назад

Glad my video helped you Jannete! Report back if you want and let us all know how your online quiz went.

@cazyyfut 4 года назад

Lol

@KornDoesStuff 4 года назад

I have a quiz tmrw too

@MariosMathTutoring 4 года назад

Good luck on your quiz Korn!

@dionfernando9573 4 года назад

@@MariosMathTutoring You saved me too. I also have quiz tomorrow.

@alexsherman7414 5 лет назад

4 years late but thanks homie

@nfspayback1248 5 лет назад

lol

@talibahmed197 4 года назад

5 years *

@alexsherman7414 4 года назад

Talib Ahmed sorry

@theuglybeing4673 3 года назад

Wow the video is legit 4 years later and your comment is 2 years ago wtf

@alexsherman7414 3 года назад

@@theuglybeing4673 I’m still here

@ellaerickson1144 4 года назад

Thank you so much!! This helped a ton since it’s kinda hard to learn new lessons in online school😌

@MariosMathTutoring 4 года назад

Glad my videos are helping you Ella!

@bunkernuts6293 4 года назад

So I am taking this online course, and the examples the instructor gave were all 60 or 90 degree triangles but the actual problems had 123 or 76 degree angles and they never quite explained how to solve for them. they only said use trigonometry. In the two days I've been stuck on this it only took your 4 minute video to make me a master at the concept. Thank you so much

@MariosMathTutoring 4 года назад

You’re welcome! Glad to hear my video helped you so quickly!

@doublemark 3 года назад

Thanks Mario! I was lost on this before and you helped to steer me in the right direction!

@alana.g12 4 года назад

Thank you so much for doing this video! I really was struggling to find how to do this kind of problem in my notes, but this video helps me so much and this it showed me how to do it very clearly and understandably. I really appreciate your thorough way of solving this problem and for posting this video. So glad I found it! Thanks again! :)

@MariosMathTutoring 4 года назад

You’re welcome Alana!

@sashime2791 3 года назад

Thank you so much sir! My three remaining brain cell understand everything, thank you so much T^T

@atrz_ 4 месяца назад

@chantingngng 4 года назад

Thanks a lot man this save me from failing I really appreciate this

@ashana9175 3 года назад

Currently at this in school and its been really confusing and hard to keep up with my mathematics teacher, decided to come know RU-vid and here you are. Your videos are really helpful and I love them. Thank you so much!!

@sandalsera 4 года назад

This helped me a lot!!! Very short but helpful explanation. Thank you!!!

@MariosMathTutoring 4 года назад

You’re welcome Alessandra!

@niklaseldevik6909 4 года назад

USEFUL RULE: When a sector is 120deg, and you split it into a triangle and a segment, then the middle of the longest side of the triangle will intersect exactly in the middle of the radius and the perimeteter Example: In a 120deg sector, where the radius is 10, splitting the sector into a triangle and a segment, then the height of the triangle will be 5

@cafirmafrancesdynah7770 3 года назад

so will the base of the triangle be 5(2) sqrt of 3???

@Tomas-2002r 5 месяцев назад

nahh Mario you a real one for this my test is tomorrow🙏🙏🙏

@ryanbrotherston864 6 лет назад

There is a easy way just to do 1/3 times Pi times (4 squared)-the area of the triangle which is (half times base times height) it works

@countdracula2836 5 лет назад

Thats the way we do it in my math class

@craftybiscuitwolf4272 4 года назад

It depends if the base or height is given. Did you know that??

@LutonTownSuppremacy 5 месяцев назад

Man you are an amazing teacher I swear. My teacher teaches very good but I missed one week of school so I couldn't catch up but you saved my grade!

@MariosMathTutoring 5 месяцев назад

Wow, thanks!

@discoloredpig2976 3 года назад

thank you so much for this simple explanation you have no idea how badly you just saved my grades

@trevorwilson9211 3 года назад

Mario, you did a clear presentation of the problem and it will be helpful to many students. Thanks. However, real life is more complicated. In the case of finding the remaining volume in a horizontal cylindrical tank, all you would know is the diameter of the tank and the depth of the remaining fluid. How would a person calibrate a dipstick for such a tank? That's a much more general version of the problem. It's easy to tell when the tank is either full or empty, but there is an infinite number of possibilities in between.

@lukas6070 3 года назад

thank god you and this video exist

@AJ-hj8bb 3 года назад

im from the UK but thank you so much i managed to get a grade 9 ( A*) in my mocks

@nanekb4825 6 лет назад

Thank you so much! This really helped me out so much! Sub and like. Keep going!

@MariosMathTutoring 6 лет назад

Glad you liked the video KenanB! Welcome to the channel! Yes, more videos coming out weekly!

@catalinaalvarez5919 2 года назад

sir Mario thank you so much .it helps me a lot .God bless .Love from Phillipines.

@anushkasingh6524 Год назад

Thanks!!! I got alot of help in my maths homework, our sir gave us alot of homework, almost 100 questions, BRO THATS ALOT FOR LIFE!!!

@MariosMathTutoring Год назад

Glad it helped!

@teacher.prashantdubeyforma5142 6 лет назад

Great job there Mario. I am a teacher myself and i thumbs up whenever i find a good teacher online so take a like from me. and keep rocking

@MariosMathTutoring 6 лет назад

Thanks a lot! I really appreciate your positive feedback!

@JeffDales 3 года назад

Helped me a lot, thank you :)

@mini-legend8028 3 года назад

Love from India! ♥️🇮🇳

@jamesbenedictv.ricamata3486 4 года назад

How Did you get the base? , The 2√3

@dfntlynoteu 3 года назад

I don't understand the part 2:45 to 3:32, can someone explain

@DaneDePain 5 месяцев назад

This guy is the best bro

@muhammadahmed5712 2 года назад

Ahhh I really need a teacher like you

@johnvonneumannsdaddy8207 2 года назад

this is useful in preperation for AMC. thank you

@valentemena2854 4 года назад

Thank you, I really enjoy your videos. I hope they help, doing teacher cert tomorrow.

@MariosMathTutoring 4 года назад

Good luck with your certification tomorrow Valente. Where will you be teaching? Report back if you want and let us all know how it went.

@valentemena2854 4 года назад

@@MariosMathTutoring, I will be teaching in Flour Bluff Texas. I passed the exam by the skin of my teeth, but want to thank you for your help. I really enjoy how you explain and simplify things.

@MariosMathTutoring 4 года назад

Awesome! Congratulations! And good luck on your new teaching career!

@yousifegan3905 4 года назад

a true hero

@MariosMathTutoring 4 года назад

Glad my videos are helping you Yousif!

@rvalle11 5 лет назад

Thank you so much :) I found this video easy to understand. Others just have to catch up on some of the previous Theorems.

@MariosMathTutoring 5 лет назад

You’re welcome! Glad you liked the video!

@grav3yardmusic990 5 лет назад

Thank you Mario, very cool!

@MariosMathTutoring 5 лет назад

You’re welcome! Glad you liked the video!

@202Lui 5 лет назад

honestly, you just saved me from getting a 50 on my homework. Thank you legend.

@MariosMathTutoring 5 лет назад

Glad my video helped you Luis!

@sairatanveer2604 3 года назад

THANK YOU Mario You are a great help

@Lilhooch 3 года назад

What if you are not given a side length?

@flgzay6208 Год назад

Great video!

@Echo-pw1mw 4 года назад

For those curious the formula is 1/2 * r^2 * (x-sinx)

@kirillzakharov7336 2 года назад

I had this type on my Honors Geometry test just yesterday. I had no idea about this. last question. The only one that I really couldn't get. We haven't even learned it before.

@Marwan-ru3yx 3 года назад

Studying for a test, thank you! this helped me alot.

@Marwan-ru3yx 3 года назад

@@adilabas228 Monthly

@adilabas228 3 года назад

@@Marwan-ru3yx so how was Ur test

@Marwan-ru3yx 3 года назад

@@adilabas228 Not so good but Im catching up pretty well and I made up for it

@adilabas228 3 года назад

@@Marwan-ru3yx that's nice

@armancelion8389 2 года назад

Thanks a lot sir✨

@Shedlight420 5 лет назад

Thank you for sharing.

@MadAtGasCar 2 года назад

Solid video, thanks dude.

@melissatran3144 4 года назад

dude u r a lifesaver

@MariosMathTutoring 4 года назад

Glad my video helped you!

@letmeouturbasementbro Год назад

damn, Johny Sins doing math here XD, but good video, very helpful, cheers

@rataliewhite498 4 года назад

I have a question. Why did he multiple the base times height on the triangle part with 1/2?

@kennethtian6386 4 года назад

because that's the area formula of the triangle: 1/2 base*height.

@gabrielmartinelli7698 4 года назад

Wish my teachers were as good at explaining as you

@MariosMathTutoring 4 года назад

Glad you like my explanations Gabriel!

@vivekgaming8210 3 года назад

Thanks for this explanation sir.🙂

@samanthashermaine230 Год назад

Thank you so much!

@MariosMathTutoring Год назад

You’re welcome!

@ispikel5901 3 года назад

Thanks u just saved my average

@legingm8514 2 года назад

This is really helpful!!! However, I'm still struggle with other kind of question based on the segments, there is one which gives me the length of the radius and the height of the segments, how could I work out the segment though

@darwinjaymanait4361 2 года назад

Where did we got 2 square root of 3?

@ariantanjil9477 2 года назад

Thank you so much sir

@hello-zh3jr Год назад

THANK YOU

@jared7622 4 года назад

Thanks man helped with my work

@MariosMathTutoring 4 года назад

You’re welcome!

@thecrazy_e741 3 года назад

This was really helpful 👏🙂👌

@MrSorolla 6 лет назад

hi, Mario. you were so helpful!!! :D

@MariosMathTutoring 6 лет назад

Glad my video helped you Ming!

@eamonn_s1180 4 года назад

When working out the 3rd length of the right angled triangle why not use pythagoras to work out the length?

@aguyontheinternet8436 2 года назад

Well, I've made an equation, which also can be derived following the process shown here, being *_r²(π*(θ/360) - sin(θ/2)*cos(θ/2))_* Is there any way to simplify it or is that what I'm stuck with? Edit: OK new question. I have found out that it will simplify quite nicely when sin(θ/2)*cos(θ/2)=sin(θ)/2 But, I cannot figure out how to prove this. How do you derive this equation?

@anneshirley4942 5 лет назад

If I worked it out correctly the area is 9.82 Correct? Thanks for your help, this was exactly what I needed! :)

@MariosMathTutoring 5 лет назад

Yes you got it Shirley! 9.83 if you round to the hundredth. Glad my videos are helping you!

@jamesecarson5631 6 лет назад

Well presented. Thank you.

@MariosMathTutoring 6 лет назад

You’re welcome James! Glad you liked how I did the video!

@cazyyfut 4 года назад

Mario are you able to show me how to do the top right triangle i am stuck on how to do them

@Archalias100 4 месяца назад

thanks so much

@walrusmcwave6840 3 года назад

Thanks u saved my ass from my teacher 😅😅

@E.h.a.n 3 года назад

So, to find segment. I basically subtract the triangle from the sector ?

@lazodana2934 5 лет назад

Thank you very much it really helped me wish u the best

@MariosMathTutoring 5 лет назад

Glad my video helped you Lazo Dana!

@alcheic Год назад

Are there any examples where the triangle, when split in half, is a 45 45 90 instead of a 30 60 90?

@jessc9974 3 года назад

Can you please do another example on this sir, please.

@user-pu5yj6qt3m 6 лет назад

Big help Mario, cheers.

@MariosMathTutoring 6 лет назад

Glad my video helped you!

@user-pu5yj6qt3m 6 лет назад

Thank you! I just finished my test a day ago and guess what? a question exactly the same came on the test. So thank you once again :)

@MariosMathTutoring 6 лет назад

Your welcome!

@hayyyann4336 2 года назад

hi may I know radius is always the same on both sides?

@alaazeineddine3584 2 года назад

thanks from bosnia(hvala)

@nutshellgaming4918 4 года назад

Awesome video sir.

@MariosMathTutoring 4 года назад

Glad you liked the video!

@ThisDude234 5 лет назад

Much thanks.

@MariosMathTutoring 5 лет назад

You’re welcome Fechi!

@user-tm6kt8wi3x 5 месяцев назад

Thanks bro, today is my exam day in math

@MariosMathTutoring 5 месяцев назад

Good luck!

@florencegaile7139 3 года назад

Where did the 2√3 came from?? Is that given??

@nicolascott8014 4 года назад

Good job

@MariosMathTutoring 4 года назад

Glad you liked the video Nicola!

@lilcherry1576 4 года назад

Very very helpful

@MariosMathTutoring 4 года назад

Glad you found my area of a segment video helpful!

@chakkarajarj1794 5 лет назад

How to calculate areas of segment dome

@baljeet7217 4 года назад

trig exam tomorrow, thanks bro

@MariosMathTutoring 4 года назад

Good luck on your exam!

@rockplayeryadav9325 3 года назад

I am from India🇮🇳🇮🇳🇮🇳

@sebastianmanalo6132 3 года назад

thanks budd

@SantosChavez-i4x Месяц назад

thanks man i must be slow as hell or you just made it look easier than i thougth it was

@MariosMathTutoring Месяц назад

You're welcome. Glad my video helped you.

@everykapkanmain4434 4 года назад

Thanks my g

@ishaankhanna5774 4 года назад

Thanks mate

@MariosMathTutoring 4 года назад

You’re welcome Ishaan!

@johnramilalmerino8689 2 года назад

Where did the 2√3 and 4√3 came from

@LeannaLuna-yp1oj 4 месяца назад

No idea tbh

@sudiptasaha465 6 лет назад

can you please explain base 4 root 3 and hight 2 is come?

@teacher.prashantdubeyforma5142 6 лет назад

???

@tomharbin2274 6 лет назад

its special right trangles look that up

@DukeCrafterMinecraftminecraft 6 лет назад

this is probably very late, but ig better late than never. When you have a right triangle that contains angle measures 30, 60, and 90, this gives us side lengths. The side length between the right angle and the 30 angle is going to be x root 3. The angle measure between the right angle and the 60 angle is going to be x. The hypotenuse is 2x. Since we are already given the 2x in this problem (4), we know that x is 2, therefore giving 2 root 3 in the other side. Since the triangle is congruent, we add 2 root 3 and 2 root three to get 4 root 3. It should be good from there

@devvo-apexmobile5833 5 лет назад

Thank u sir!

@MariosMathTutoring 5 лет назад

You’re welcome Ray!

@eatmenoah9330 3 года назад

What if the radius is 8 and the sector is 60°?

@prsn_naik 2 месяца назад

Why are you not using 0.5*base* height for area of triangle?? Sorry you are using it😂 ,but I don't understand the usage of 0.5*ab *sin C...

@mrpineapples4865 2 года назад

Thank you Math Jeff Bezos

@xyliahvortex661 4 года назад

Does sin, cos and tan work for all triangles?

@MariosMathTutoring 4 года назад

Just right triangles but there is a special law of sines and law of cosines formula for non right triangles...maybe this video I did here will be of help to you: SOH CAH TOA (Trigonometry) ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-q5JMy_NAP1c.html

@xyliahvortex661 4 года назад

@@MariosMathTutoring Thank you so much

@MariosMathTutoring 4 года назад

You’re welcome!