Geometry - Area Math Problem

This geometry video tutorial explains how to solve a math problem that asks you to find the area of the shaded region formed from the sectors of 3 circles inscribed inside an equilateral triangle.
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/

[@Fletchery]

The thumbnail do b lookin interesting doe😂👀

[@sadpigeon8756]

Ooh that triangle lookin *THICC*

[@snowgoose0571]

Oh lord... forgive me for what I’m about to do....

[@Saber_of_Truth]

Damn dat triangle tryna get this hypotenuse

[@yannam5339]

😂😂😂😂

[@iiidolo1894]

☠️☠️☠️

[@Maya-lv2lx]

That triangle kinda thic though

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another excellent video/lecture on the well-known Geometry Area Math Problem in Plane/Analytical Geometry. This problem takes some thought; however it is not difficult for students to solve.

[@bently3425]

Simple and plain great job bro ... 💯💯💯

[@rachelberryapologist851]

I love your voice)) thanks for content ❤️❤️

[@teddybear0173]

Please do a video on cylindrical, spherical, rectangular coordinates (calculus 3)

[@derlyswanson]

Hi !Thanks for your videos. I was wondering if you do personal tutorials?

[@CubeSapien]

brother how you make your videos

[@AmirgabYT2185]

S(sh)=8(2√3-π)≈2,56

[@BBme]

Now very confused. Why cant we use area of triangle = 1/2 x height x width?

[@violetemmott3353]

Put 2 of these triangles together, the sum of the angles in the circle sectors is tau, the area of all the circle sectors is the same as a circle with radius 4 which is 16*pi and the area of the triangle is 8*8*sin(pi/3). The area of the total blue in the parallelogram is 8*8*sin(pi/3)-16*pi Therefore the blue area of the triangle is (8*8*sin(pi/3)-16*pi)/2 Pi/3 is the angle in an equaliateral triangle, which is also an issocalese triangle, therefore the opposite of a constructed right angle triangle perfectly bisects the base leaving that: Hypotinuse = 1u Adgascent = 1/2u Therefore becuase Adgascent²+Opposite²= Hypotinuse² Then the Opposite = sqrt(3/4)u or sqrt(3)/2 u Therefore sin(pi/3)=(sqrt(3)/2 u)/u = sqrt(3)/2 Putting this back into the equation the area of the blue section is: 8(4sqrt(3)/2-pi) Simplifies to 16 sqrt(3) - 8pi And that is the answer

[@randomKB1]

Do you happen to have a video or plan to make a video about Laplace Transforms ? Thanks.

[@karlzander5389]

Everyone be talking about da triangle being thicc while I cry trying to solve this problem myself ;-;

[@austing9060]

Since it's an equilateral triangle couldn't you just find: S= 1/2(A+B+C) Area=sqr root of S(S-A)(S-B)(S-C) Then 1/2 × pi × 4^2 And finally just subtract the area of half the circle from the area of the triangle to get that measurement

[@austing9060]

For those who don't know the

[@austing9060]

Also note that A, B, and C are the whole sides which in this example measure 8 units

[@nazirulislam866]

Im just 10-

[@chemconduct]

Excellent 👌 Love you from BANARAS HINDU UNIVERSITY ( India)

[@thatomofolo452]

Fax 💯

[@holyshrimp6965]

That triangle be looking baaaad

[@gredystar8333]

I thought that was a triangle in a bikini for a moment....

[@calimmoore]

GredyStar oh gosh i thought i was the only one hahaha

[@charlesbromberick4247]

PFE = Pretty Easy

[@Wheelygonzales]

EASILY solvable with trigonometry.

[@Jo_Es_Chess_Channel]

How? There's only one triangle

[@Lunar720]

Or you can do a square as in 1 mile by 1 mile, answer is 1 mile right? How about 5280 feet by 5280 feet, it’s still a mile on both sides but comes out as 5280 miles, what the fuck

[@allilatif1600]

please make more electronics videos