Question

How do you find the area of the shaded region of a circle?

Answer 1

First you would use the Pythagorean theorem to find the third side of the triangle or you could say the diameter of the circle.

8^2+6^2=c^2
64+36=c^2
100=c^2
10=c
The diameter equals 10

You want to find the area of the triangle so you would use the formula base time height divided by 2

A= 6*8/2
A= 48/2
A= 24
The area of the triangle is 24 square inches

To find the area of the circle you have to do pie time the radius squared
I’m gonna round pie to 3.14
And I got the radius by dividing 10 by 2

A= 3.14*5^2
A= 3.14*25
A= 78.5 square inches
The area of the whole circle is 78.5 square inches

To find the area of the grey you have to do the area of the total circle minus the area of the triangle which is.

Area of grey= 78.5 - 24
Area of grey= 54.5 square inches