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

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/

[@TheOrganicChemistryTutor]

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

[@imanitahliln4617]

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

[@giftto2190]

Me too

[@naturalsfnm3035]

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]

I learn this in grade 5

[@janemuthoni6735]

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

[@precotto5466]

Same

[@AndrejNikolov-xw2gi]

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]

Thanks man

[@i6731]

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]

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]

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

[@christymarcinkowski4200]

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

[@imintheghettobratatata5585]

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

[@georgesadler7830]

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.

[@abihascookiesz6946]

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 ☺️

[@georgiandreea9571]

Jdo

[@troncaat]

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

[@joshmedina8053]

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

[@evacameron8670]

This is needed! Thank you 🙏

[@frimponggodfred3437]

Very helpful as usual keep doing more videos of this

[@zydan9260]

Thx this helped alot with my assignment

[@_Abxyss]

Thanks for teaching i needed this for the math competition

[@Asianroyce7777]

Good luck!

[@pourya8503]

lol my brain is too small for this

[@gwyneth7127]

XD also mine 😅

[@semiface]

its so complicated but i managed hahaha

[@belayneshawoke6230]

You saved my grades thanks 🙏

[@stompzx973]

Thanks for doing my homework 😁

[@nene3860]

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

[@r3.4lmz]

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

[@daisydalogdog207]

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

[@AbulwahabEeriss]

this guy deserves more subs who agrees?

[@IjeomaMercy-lc8xi]

Me

[@vitspolo3485]

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

[@tonicgamingandmemesph.9022]

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

[@ynza7]

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😀

[@robingametrex8475]

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

[@FeraleHubbard]

Thank yooooou!!!

[@nalynlavir5897]

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

[@carlosespitia4768]

Thank you so much

[@Rosemaryy462]

Thank you 💖

[@ruchikasharma8302]

Very very nice explanation 🙂 sir

[@princesseunicemalate6020]

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]

same thing I was thinking too

[@ediching9961]

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.

[@najjasisarwar8962]

Thanks broo, u helped me at my exam night

[@sharing_light_with_maggi]

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

[@yyyyyyyyyy505]

good job i needed this

[@brotherjamesaranay4648]

It is a great help

[@charlotteli9001]

i had no clue about this now i fully understand

[@almirslife]

I have a test tomorrow and he helped a lot

[@Asianroyce7777]

This is so easy now tysm 😊😊😊😊😊

[@Ch-a-r-a]

man u deserve more than 5 million subs

[@icqednixYo]

he has 7mil now. sry for late ahh response

[@hiteshdora4383]

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

[@Moemoepot]

I hate my life because of math

[@BeyondXEditz]

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

[@drizzll7414]

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]

its true so show us the true way

[@valtaoi3485]

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

[@aldoroel577]

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

[@o5-redacted0]

Thank you dude!

[@dileeppaudel9365]

love your vids

[@real.tv1491]

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

[@techwithsolid1715]

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

[@unodimson1641]

man u make math look easy

[@mahtab.kaliramanamahtab7500]

Thank you so much sir

[@adelabuhassan1749]

Thanks this helps

[@Joeythegoats]

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

[@patthatguy2108]

WOW THIS HELPS

[@BBme]

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?

[@shansejeo8292]

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

[@Magic1970something]

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

[@toddpurdy7148]

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

[@yumilcaahyandomingo5270]

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?

[@michellegudoy6148]

thank you

[@BBme]

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

[@PlsStandBy]

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?

[@sarah7768]

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

[@yoitsvedu]

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

[@javamehr2166]

AMAZING

[@sushilapatel9075]

Thank u

[@usmanalih998]

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

[@temesgenabebe4004]

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

[@vahnrie]

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

[@areejmemon2982]

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

[@crimzinghst1903]

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

[@abdulahadrobloxbedwars8359]

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

[@mominahussain5510]

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

[@kiameisolos]

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

[@mathewjohn1491]

Thxso

[@tomnethan757]

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

[@asunahdanieldaniel8676]

I don't understanding

[@physicsloverjoinmychannel2937]

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

[@Wesley-vb5wc]

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]

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

[@thanseal3907]

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

[@scythuis7259]

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.

[@helolololol]

can u do how to find unshaded area region ☹️

[@TexansEditZ713]

Why did u make it look easy

[@drizzll7414]

at the time 2:50

[@jonathanaustria4994]

I didn't get 4:01??

[@zynex9250]

Genius

[@kolenkapi8989]

Please more

[@jeasuee.melendez7226]

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

[@jeasuee.melendez7226]

oh wait you dont use the pie you use the square

[@donelij8994]

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

[@vvvken1]

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

[@tauheed6550]

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

[@vvvken1]

@@tauheed6550 oh ok, thanks!

[@tauheed6550]

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

[@vvvken1]

@@tauheed6550 no, I don’t lol

[@tauheed6550]

@@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

[@exoticc-lp1sp]

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

[@neutronzz3543]

Find diameter I assume

[@bienvenidos9360]

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

[@elisapetamaletino]

Need centimeter for shaded part

[@ImZhald]

Thank you i finally got passed 1. Lol

[@onlotter]

youtube is my teacher!🤣

[@user-dh2ee3ht6m]

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

[@OpheliaMantey]

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

[@naturalsfnm3035]

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

[@ammoan2005]

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

[@killertrom6387]

Then find it

[@gracecodm4665]

How did you turn 400 - 64 into a decimal?

[@aleenaazhar581]

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]

So smart thank you

[@metallicpumpkin4382]

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

[@naterula]

Because the pi sign resembles 3.14

[@nadyamusalam601]

Yeah of course

[@skylerskyge]

app please

[@wafflesofdivinity9273]

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?!

[@Kerendrautu-xg1mo]

Area of circle

[@-momentz-6420]

what's the formula?

[@kiameisolos]

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

[@animechannel6080]

i dont understand😨but thank you😔

[@non-stickpan5294]

imagine understanding youtube but not a person XD

[@kianjay8700]

I think you forgot to multiply the 64 inyo pie