Area of Shaded Region - Circles, Rectangles, Triangles, & Squares - Geometry

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  • เผยแพร่เมื่อ 17 ก.ค. 2024
  • This geometry video tutorial explains how to calculate the area of the shaded region of circles, rectangles, triangles, and squares. The first example explains how to calculate the area of the shaded region of a square inside of a rectangle. The second example involves a circle inside of a rectangle and third example involves a circle inside of another circle. Other examples include a right triangle inside of a circle, a square inscribed in a circle, and a circle inscribed in a equilateral triangle as well as a rhombus inside of a square.
    Area of a Rectangle:
    • How To Find The Area o...
    Area and Perimeter:
    • Area and Perimeter
    Area of a Square:
    • Area of a Square
    Area of a Triangle:
    • Area of a Triangle, Gi...
    Calculating The Height of a Triangle:
    • How To Calculate The H...
    Area of a Trapezoid:
    • Area of a Trapezoid
    _____________________________
    Area of a Parallelogram:
    • Area of a Parallelogram
    Area of a Rhombus:
    • Area of a Rhombus
    Area Between Two Squares:
    • How To Calculate The A...
    Area - Rectangles, Triangles, & Circles:
    • Area of a Rectangle, T...
    Area & Perimeter of Irregular Shapes:
    • Area and Perimeter of ...
    How To Calculate Square Footage:
    • How To Calculate Squar...
    ______________________________
    Area of a Kite:
    • Area of a Kite
    Area of an Equilateral Triangle:
    • Area of an Equilateral...
    Area of Regular Polygons:
    • Area of Regular Polygo...
    Area - Hard Math Problem:
    • Geometry - Area Math P...
    Area - Shaded Region:
    • Area of Shaded Region ...
    Circles - Area, Circumference, Radius:
    • Circles - Area, Circum...
    Final Exams and Video Playlists:
    www.video-tutor.net/

ความคิดเห็น • 277

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  6 หลายเดือนก่อน +4

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

  • @imanitahliln4617
    @imanitahliln4617 4 ปีที่แล้ว +251

    You're amazing my teacher had 2 hours with me and he barley helped I wish you were my 7th grade teacher

    • @giftto2190
      @giftto2190 3 ปีที่แล้ว +5

      Me too

    • @naturalsfnm3035
      @naturalsfnm3035 3 ปีที่แล้ว +5

      I have to learn this in year 5 I’m in Australia and I need this to help when I get older so when I do it’s a lot easier

    • @janemuthoni6735
      @janemuthoni6735 3 ปีที่แล้ว +1

      I learn this in grade 5

    • @janemuthoni6735
      @janemuthoni6735 3 ปีที่แล้ว +1

      @Lucas Hahn just to remind my self something I have a test coming up

    • @precotto5466
      @precotto5466 3 ปีที่แล้ว +2

      Same

  • @AndrejNikolov-xw2gi
    @AndrejNikolov-xw2gi 5 ปีที่แล้ว +117

    FOR EVERYONE NEW HERE:
    This video is correct in everything he says!
    There are people below who don't know anything so don't listen to them. The guy making this video didn't explain some bits very well but if you know basic stuff about it, you will understand.

    • @sarahlachhwani1753
      @sarahlachhwani1753 3 ปีที่แล้ว

      Thanks man

    • @i6731
      @i6731 3 ปีที่แล้ว +2

      In his video picture he put a problem he didn’t even use... he puts them on but don’t even explain half of them..

    • @user-dh2ee3ht6m
      @user-dh2ee3ht6m 3 หลายเดือนก่อน

      The sum of all the angles is 180 degrees not 360 degrees in a triangle. He said it was 360 degrees at 11:00

    • @nicejijithomas989
      @nicejijithomas989 3 หลายเดือนก่อน +1

      ​@@user-dh2ee3ht6m at 11:00 he said "the angle of the full circle is 360" not of the triangle

  • @imintheghettobratatata5585
    @imintheghettobratatata5585 3 ปีที่แล้ว +7

    THANK YOU SO MUCH OMG I HAVE A MATHS TEST TMR AND I HAD NO IDEA ABOUT WHAT THIS WAS BUT YOU SAVED ME!!! GOD BLESS YOU 🙏🏽🙏🏽❤️❤️ YOU JUST EARNED A NEW SUBSCRIBER

  • @christymarcinkowski4200
    @christymarcinkowski4200 3 ปีที่แล้ว +10

    Thank you so much for the help. My 6+ math homework was rough until you came in an made so much sense!

  • @abihascookiesz6946
    @abihascookiesz6946 2 ปีที่แล้ว +33

    I had a six page math worksheet all about polygons dew 1 hour and this helped so much but all tho i has 2 more questions left i had the most done in class this helped a lot thank you ☺️

  • @troncaat
    @troncaat 2 ปีที่แล้ว +4

    Thank you so much. I have a math test tomorrow and I had no idea how to do this so, thank you.

  • @georgesadler7830
    @georgesadler7830 2 ปีที่แล้ว +7

    MR. Organic Chemistry Tutor, thank you for another exceptional video/lecture on the Area of Shaded Region. These are all well-known figures/shapes that are the heart and soul of modern Geometry.

  • @joshmedina8053
    @joshmedina8053 2 หลายเดือนก่อน

    This guy is one of the best tutors on youtube if not the best, if you dont understand him its definitely on you.

  • @frimponggodfred3437
    @frimponggodfred3437 ปีที่แล้ว +3

    Very helpful as usual keep doing more videos of this

  • @evacameron8670
    @evacameron8670 ปีที่แล้ว +2

    This is needed! Thank you 🙏

  • @zydan9260
    @zydan9260 3 ปีที่แล้ว +4

    Thx this helped alot with my assignment

  • @robingametrex8475
    @robingametrex8475 3 ปีที่แล้ว +3

    I did not understood the hard parts but thnx it was helping me a lot

  • @nene3860
    @nene3860 2 ปีที่แล้ว +7

    Man i wish you were my teacher, you explained this better than our actual lesson. Thank you!

    • @r3.4lmz
      @r3.4lmz ปีที่แล้ว +1

      exactly bro my teacher barely explained and she didnt even show us the formula 💀

  • @_Abxyss
    @_Abxyss 3 ปีที่แล้ว +4

    Thanks for teaching i needed this for the math competition

  • @belayneshawoke6230
    @belayneshawoke6230 3 ปีที่แล้ว +2

    You saved my grades thanks 🙏

  • @tonicgamingandmemesph.9022
    @tonicgamingandmemesph.9022 3 ปีที่แล้ว +21

    It's still difficult but thx for the help it still helps a little bit 😀

    • @ynza7
      @ynza7 ปีที่แล้ว +2

      Yea, I'm sorry but, he's kinda too fast and well i had a difficult time catching up since we just started this lesson😀

  • @stompzx973
    @stompzx973 3 ปีที่แล้ว +3

    Thanks for doing my homework 😁

  • @vitspolo3485
    @vitspolo3485 2 ปีที่แล้ว +1

    literally teachers make this shit so complicated and than complain when we do something wrong thank you bro

  • @Rosemaryy462
    @Rosemaryy462 4 ปีที่แล้ว +3

    Thank you 💖

  • @carlosespitia4768
    @carlosespitia4768 6 ปีที่แล้ว +2

    Thank you so much

  • @daisydalogdog207
    @daisydalogdog207 ปีที่แล้ว

    Thank you, this video is so helpful! 😊🥰🥺

  • @FeraleHubbard
    @FeraleHubbard 4 ปีที่แล้ว +4

    Thank yooooou!!!

  • @sharing_light_with_maggi
    @sharing_light_with_maggi 3 ปีที่แล้ว

    i love your teaching but i had difficulty of the 2 last ones but tnx i love u

  • @almirslife
    @almirslife 2 ปีที่แล้ว

    I have a test tomorrow and he helped a lot

  • @najjasisarwar8962
    @najjasisarwar8962 ปีที่แล้ว +1

    Thanks broo, u helped me at my exam night

  • @BeyondXEditz
    @BeyondXEditz 3 หลายเดือนก่อน +1

    Bro u carried🙏🏾 5th grade math class was easy now

  • @nalynlavir5897
    @nalynlavir5897 3 ปีที่แล้ว +1

    Thanks for this I'm glad you maked this video:-)

  • @Asianroyce7777
    @Asianroyce7777 3 ปีที่แล้ว +1

    This is so easy now tysm 😊😊😊😊😊

  • @ruchikasharma8302
    @ruchikasharma8302 2 ปีที่แล้ว

    Very very nice explanation 🙂 sir

  • @brotherjamesaranay4648
    @brotherjamesaranay4648 4 ปีที่แล้ว

    It is a great help

  • @yyyyyyyyyy505
    @yyyyyyyyyy505 2 ปีที่แล้ว

    good job i needed this

  • @AbulwahabEeriss
    @AbulwahabEeriss 5 หลายเดือนก่อน +1

    this guy deserves more subs who agrees?

  • @charlotteli9001
    @charlotteli9001 6 ปีที่แล้ว +2

    i had no clue about this now i fully understand

  • @real.tv1491
    @real.tv1491 ปีที่แล้ว

    Can this be done for irregular shapes too because i am a bit confused if you can or can not

  • @hiteshdora4383
    @hiteshdora4383 5 ปีที่แล้ว +11

    diagonal of a rectangle doesnt bisect interior angles unless the rectangle is a square

  • @techwithsolid1715
    @techwithsolid1715 2 ปีที่แล้ว

    sir what is the problem if i calculate the shaded area of square inside rectangle as (8-5)(10-5) for the first example

  • @Ch-a-r-a
    @Ch-a-r-a ปีที่แล้ว +1

    man u deserve more than 5 million subs

    • @icqednixYo
      @icqednixYo 2 หลายเดือนก่อน

      he has 7mil now. sry for late ahh response

  • @princesseunicemalate6020
    @princesseunicemalate6020 3 ปีที่แล้ว +7

    2:53 , if 64 x 3.14 is equal to 200.96, therefore 400-200.96 = 199.04 right? Why it is 198.9? I'm confused

    • @r.w7567
      @r.w7567 3 ปีที่แล้ว +3

      same thing I was thinking too

    • @ediching9961
      @ediching9961 3 ปีที่แล้ว +4

      He didn't use 3.14 as pi, instead he calculated it directly on calculator using the pi in calculator. I hope u get what I mean.

  • @o5-redacted0
    @o5-redacted0 2 ปีที่แล้ว

    Thank you dude!

  • @aldoroel577
    @aldoroel577 4 ปีที่แล้ว +4

    In 5:48 that is not a rectangle. Its a square. Because W=8 and L=8...

  • @pourya8503
    @pourya8503 3 ปีที่แล้ว +9

    lol my brain is too small for this

    • @gwyneth7127
      @gwyneth7127 3 ปีที่แล้ว +2

      XD also mine 😅

    • @semiface
      @semiface 3 ปีที่แล้ว +1

      its so complicated but i managed hahaha

  • @mahtab.kaliramanamahtab7500
    @mahtab.kaliramanamahtab7500 2 ปีที่แล้ว

    Thank you so much sir

  • @dileeppaudel9365
    @dileeppaudel9365 2 ปีที่แล้ว +1

    love your vids

  • @adelabuhassan1749
    @adelabuhassan1749 2 ปีที่แล้ว

    Thanks this helps

  • @Joeythegoats
    @Joeythegoats 3 ปีที่แล้ว +3

    I had downloaded it for weeks but never watched it and was always leaving the question like last one in paper. Today I got disconnected from internet and decided to watch and guess what PROBLEM SOLVED 1.5 marks secured

  • @sarah7768
    @sarah7768 3 ปีที่แล้ว +2

    i have a question. Can we multiply pie with the number? if i do it during my exam will i lose marks?

    • @yoitsvedu
      @yoitsvedu ปีที่แล้ว

      Yes you can multiply pie with the no. If you do not do it you will lose marks

  • @shansejeo8292
    @shansejeo8292 2 ปีที่แล้ว

    I am in class 5 and I really appreciate you I am preparing for my exams

  • @unodimson1641
    @unodimson1641 2 หลายเดือนก่อน

    man u make math look easy

  • @Magic1970something
    @Magic1970something 3 ปีที่แล้ว

    Can you go over a question circle inside a rectangle height is 10 cm width this 10 cm what is the area?

  • @drizzll7414
    @drizzll7414 4 ปีที่แล้ว +11

    wrong he used the pie symbol instead of the reg 3.14 instead of pie that goes on forever
    3.14 x 64 is 200.96 and then u subtract that from 400 which is 199.04

    • @elroieshiferaw1780
      @elroieshiferaw1780 3 ปีที่แล้ว

      its true so show us the true way

    • @valtaoi3485
      @valtaoi3485 3 ปีที่แล้ว

      He used a calculator to do that you could hear him typing on the calculator if you wear headphones

  • @toddpurdy7148
    @toddpurdy7148 2 ปีที่แล้ว

    it takes my teacher to spend hours on this and I wouldn't get it but now I get it in minutes

  • @BBme
    @BBme 3 หลายเดือนก่อน

    11:40, how do you know that its 2 at the slope, while its half at 1 at the height and Square root of 3 at the length?

  • @patthatguy2108
    @patthatguy2108 2 ปีที่แล้ว

    WOW THIS HELPS

  • @yumilcaahyandomingo5270
    @yumilcaahyandomingo5270 ปีที่แล้ว

    mine has an expression in it. inside a big rectangle there is a small rectangle and its height is a-6 while the width is only a, what should i do? can someone help?

  • @PlsStandBy
    @PlsStandBy 6 หลายเดือนก่อน

    in 9:05, why couldnt we just get the area of the square as (5 x 5 = 25) since the side is 5 cm already in length, then subtract it to the area of the bigger square 64 (8x8=64) to get 39?

  • @BBme
    @BBme 3 หลายเดือนก่อน

    7:45, how do we know that this is right angle because what if this is paralleogram?

  • @michellegudoy6148
    @michellegudoy6148 3 ปีที่แล้ว

    thank you

  • @Moemoepot
    @Moemoepot 2 ปีที่แล้ว +3

    I hate my life because of math

  • @vahnrie
    @vahnrie 3 ปีที่แล้ว

    how did you get the answer on the sercel in the cube sorry i dont now how to spell correctliy

  • @usmanalih998
    @usmanalih998 ปีที่แล้ว

    This is so helpful I am in 5th grade. Writing common entrance and am going to pass

  • @javamehr2166
    @javamehr2166 ปีที่แล้ว

    AMAZING

  • @temesgenabebe4004
    @temesgenabebe4004 ปีที่แล้ว

    would’ve been more helpful if you did some squares with variables in them

  • @mominahussain5510
    @mominahussain5510 2 ปีที่แล้ว

    How do i know if i need to add the answers or subtract them?

    • @kiameisolos
      @kiameisolos 2 ปีที่แล้ว

      Keywords/what's asked in a question ex:
      You need to find the area of a square but there's a circle, find the area of the circle and the square and subtract becuz you're finding the area of the square

  • @areejmemon2982
    @areejmemon2982 3 หลายเดือนก่อน

    I have a question sir why you didn't calculate the value of π when the answer was 33π

  • @abdulahadrobloxbedwars8359
    @abdulahadrobloxbedwars8359 4 หลายเดือนก่อน

    for example 2 circle 1 one what if we do not have a radius

  • @sushilapatel9075
    @sushilapatel9075 3 ปีที่แล้ว

    Thank u

  • @physicsloverjoinmychannel2937
    @physicsloverjoinmychannel2937 2 ปีที่แล้ว +1

    Thanks! But I can't understand the last question pls help me

  • @crimzinghst1903
    @crimzinghst1903 3 ปีที่แล้ว +5

    i just want to know where is the rectangle in a rectangle tho
    ????

  • @tomnethan757
    @tomnethan757 3 ปีที่แล้ว +1

    Noticed that your videos have very low volume. That may be the only issue for now

  • @Wesley-vb5wc
    @Wesley-vb5wc 2 หลายเดือนก่อน

    Im in 6th grade and im in pre algebra but my teacher is not very good and i don’t understand with the way she teaches but tou are so good at teaching thank you do much

    • @MariamawitTsegaye-lr4jh
      @MariamawitTsegaye-lr4jh 2 หลายเดือนก่อน

      I am in 7th grade and I am from Ethiopian in Africa 🌍

  • @helolololol
    @helolololol 2 ปีที่แล้ว

    can u do how to find unshaded area region ☹️

  • @thanseal3907
    @thanseal3907 3 ปีที่แล้ว

    1:10 where did you get the 25? Pls answer me

    • @scythuis7259
      @scythuis7259 3 ปีที่แล้ว +1

      He got the 25 from multiplying the 5 x 5 from the square, since to find the area of the square you multiply side x side, which would be the two 5s from the square.

  • @jonathanaustria4994
    @jonathanaustria4994 3 หลายเดือนก่อน +1

    I didn't get 4:01??

  • @donelij8994
    @donelij8994 5 หลายเดือนก่อน

    I thought of a better and easier way to solve the last problem, you just do radius multiplied by the square root of 12 which gives the length of one side of the triangle which we divide by two to get half of the base, then we multiply that by the square root of 3 which give the height, then we multiply that height by half the base to get the area of the triangle, then just subtract the area of the circle to get the shaded region

  • @jeasuee.melendez7226
    @jeasuee.melendez7226 3 ปีที่แล้ว

    how did you get 49 from 7 times 3.14 or pie how

  • @exoticc-lp1sp
    @exoticc-lp1sp 3 ปีที่แล้ว

    Do you know how to find the radius if not given?

    • @neutronzz3543
      @neutronzz3543 2 ปีที่แล้ว

      Find diameter I assume

    • @bienvenidos9360
      @bienvenidos9360 ปีที่แล้ว

      You can find the radius if you know the area or the circumference with the formulas
      Area = pi * radius²
      Circumference = 2 * pi * radius

  • @elisapetamaletino
    @elisapetamaletino หลายเดือนก่อน

    Need centimeter for shaded part

  • @vvvken1
    @vvvken1 3 ปีที่แล้ว +2

    My teachers said use 3.14 as PI, where am I supposed to use that at?

    • @tauheed6550
      @tauheed6550 3 ปีที่แล้ว +2

      Using 3.14 just makes it easier if you don’t have a calculator or something

    • @vvvken1
      @vvvken1 3 ปีที่แล้ว +1

      @@tauheed6550 oh ok, thanks!

    • @tauheed6550
      @tauheed6550 3 ปีที่แล้ว +1

      @@vvvken1 But if you do have a calculator all you need to do is Shift x10* If you know what I mean

    • @vvvken1
      @vvvken1 3 ปีที่แล้ว +1

      @@tauheed6550 no, I don’t lol

    • @tauheed6550
      @tauheed6550 3 ปีที่แล้ว +1

      @@vvvken1 On the top of the calculator there’s a button named Shift which flips some stuff around the calculator( have you noticed some yellow equations on top of some buttons?) and near the 0 number there a button which reads x10* and that essentially creates the pi symbol

  • @OpheliaMantey
    @OpheliaMantey 3 หลายเดือนก่อน

    What if the outer circle has no radios and the inner has a radius of 21

  • @zynex9250
    @zynex9250 2 ปีที่แล้ว +1

    Genius

  • @mathewjohn1491
    @mathewjohn1491 2 ปีที่แล้ว

    Thxso

  • @unodimson1641
    @unodimson1641 2 หลายเดือนก่อน +1

    I got a Entrance exam tom and i dont understand math at all💀

  • @ammoan2005
    @ammoan2005 7 หลายเดือนก่อน

    What if you don't know the radios of the circle?

  • @asunahdanieldaniel8676
    @asunahdanieldaniel8676 8 หลายเดือนก่อน +31

    I don't understanding

  • @gracecodm4665
    @gracecodm4665 2 ปีที่แล้ว

    How did you turn 400 - 64 into a decimal?

    • @aleenaazhar581
      @aleenaazhar581 2 ปีที่แล้ว

      He didnt subtract 64 he subtracted 64π which is 64x3.14 because π is 3.14 so he basically subtracted the product of 64π not 64.

    • @gracecodm4665
      @gracecodm4665 2 ปีที่แล้ว

      So smart thank you

  • @skylerskyge
    @skylerskyge 2 ปีที่แล้ว

    app please

  • @TexansEditZ713
    @TexansEditZ713 3 ปีที่แล้ว

    Why did u make it look easy

  • @naturalsfnm3035
    @naturalsfnm3035 3 ปีที่แล้ว +1

    I’m in grade 5 lol and I’m learning this

  • @drizzll7414
    @drizzll7414 4 ปีที่แล้ว +1

    at the time 2:50

  • @-momentz-6420
    @-momentz-6420 2 ปีที่แล้ว

    what's the formula?

    • @kiameisolos
      @kiameisolos 2 ปีที่แล้ว

      Square: Side x Side
      Rectangle: Length x Width
      Triangle: Base x Height ÷ 2
      Circle: πr²

  • @kolenkapi8989
    @kolenkapi8989 ปีที่แล้ว

    Please more

  • @ImZhald
    @ImZhald 3 ปีที่แล้ว

    Thank you i finally got passed 1.
    Lol

  • @metallicpumpkin4382
    @metallicpumpkin4382 5 ปีที่แล้ว

    At 2:39, He Didn't Use 3.14 To the 64.

    • @naterula
      @naterula 5 ปีที่แล้ว

      Because the pi sign resembles 3.14

    • @nadyamusalam601
      @nadyamusalam601 4 ปีที่แล้ว

      Yeah of course

  • @kianjay8700
    @kianjay8700 2 หลายเดือนก่อน

    I think you forgot to multiply the 64 inyo pie

  • @user-dh2ee3ht6m
    @user-dh2ee3ht6m 3 หลายเดือนก่อน

    The sum of all the angles is 180 degrees not 360 degrees in a triangle. You said it was 360 degrees at 11:00

  • @unknownkirods5642
    @unknownkirods5642 3 ปีที่แล้ว +3

    Dude why would u have a circle with a square on your thumbnail but not include it in the video??? Thats the only reason im here is for that problem.

    • @hisoka9509
      @hisoka9509 3 ปีที่แล้ว

      Shaded Area = pi*radius^2 - s^2

    • @hisoka9509
      @hisoka9509 3 ปีที่แล้ว

      He didn't have to include it in the video because you can apply these other problems with the circle/square shaded area.

    • @Spartan-tx6nr
      @Spartan-tx6nr 3 ปีที่แล้ว

      @@hisoka9509 what’s the s stand for

    • @hisoka9509
      @hisoka9509 3 ปีที่แล้ว

      @@Spartan-tx6nr the area of a square

    • @Spartan-tx6nr
      @Spartan-tx6nr 3 ปีที่แล้ว

      @@hisoka9509 thank you

  • @onlotter
    @onlotter 2 ปีที่แล้ว +1

    youtube is my teacher!🤣

  • @wafflesofdivinity9273
    @wafflesofdivinity9273 3 ปีที่แล้ว

    I just wrote an entire page on how to solve for the shaded area of the circle with the right triangle inside it and it got deleted because the stupid copy and clip button are right next to each other, who the hell had the bright idea of doing this?!

  • @sarahlachhwani1753
    @sarahlachhwani1753 3 ปีที่แล้ว

    I’m new to this but when he puts 20 why does he put the square root 3

    • @bumfuzzle1401
      @bumfuzzle1401 3 ปีที่แล้ว

      Go watch this video of his th-cam.com/video/w8wdKOsUD-4/w-d-xo.html. It is the geometry introduction video. He explains everything you need to know here, and he also includes the answer for your question. Good luck!