Explanation:
Explanation:
The area of the ENTIRE circle is pi r^2
diameter is 12 so the radius, r, is 6 inches
pi r^2 = pi (6^2) = 36 pi in^2
You want the area of only 90 degrees of this 360 degree circle
90 / 360 ths of the entire circle area is then
90 / 360 * 36 pi in^2 which reduces to 1/4 (36pi) in^2