In the circle below, O is the center. Chord AB is 12 inches long and 8 inches from O. What is the area, in square inches of the circle? (Area is pi times radius squared. A=pir^2)

Answer 1

To find the area of the circle, we first need to find the radius of the circle.

Since chord AB is 8 inches from the center of the circle, and the chord is 12 inches long, we can use the Pythagorean theorem to find the radius.

8^2 + r^2 = 12^2
64 + r^2 = 144
r^2 = 80
r = √80
r = 8√5 inches

Now, we can calculate the area of the circle using the formula A = πr^2:

A = π(8√5)^2
A = π(64 * 5)
A = 320π square inches

Therefore, the area of the circle is 320π square inches.