Question

A circle is shown. 2 radii with length 8 inches are drawn. A line connects the radii points on the circle to form a triangle. The angle between the 2 radii is 90 degrees. The area between the triangle and the outline of the circle is shaded.
What is the area of the shaded portion of the circle?

(16π – 32) in2
(16π – 8) in2
(64π – 32) in2
(64π – 8) in2

Answer 1

Sector area = (1/4)π(8)^2 = 16π.
Triangle area = (1/2)(8)(8)·sin90° = 32.
Shaded area = sector − triangle = 16π − 32 in².

Answer: 16π − 32 in².