Question

The smallest circle in the figure has a radius of 2 inches. Which equation gives the area A of the shaded part of the figure? Recall that A = (pi)r^2

Answer 1

A = 60pi

Explanation:

the radius of the smallest circle is 2 inches so that would give us an area of 4pi. the distance in the shaded part is 6 inches, since we're wanting to find the area of the shaded part, we'll add the radius of the smallest circle, 2 inches, and add it to the length of the shaded circle, 6 inches, to get a radius of 8 inches. plug 8 inches into the formula and youll get 64pi then subtract the 4pi from 64pi and youll get 60pi, which is the area of the shaded part of a circle.

Answer 2

60π in²

Explanation:

Inner Circle:

r = 2 in

Area of inner circle = πr²

= π* 2 * 2

= 4π in²

Middle circle:

r = 6 + 2 = 8 in

Area of middle circle = π * 8 * 8

= 64π in²

Area of shaded region = area of middle circle -area of inner circle

= 64π - 4π

= 60π in²