arc length .

Question

Answer 1

3 * 36 = 108 degrees. Now change to Radians we will get:

D / 180 = Rad / pi

108 / 180 = Rad / pi

Rad = 108 pi / 180 Now plug it to the formula for the area of a sector.

Area = r ^2 Rad / 2 = 8^2 * 108 pi / (180 * 2) = 96 pi / 5 = 19.2 pi which is almost 60.3 square inches.

Answer 2

θ in radians

A = r² θ / 2

s = r θ