Question

Start of Questions

A sector of a circle has a central angle of
45
∘
45
∘
. Find the area of the sector if the radius of the circle is 8 cm.

Answer 1

25.12 cm^2

Explanation:

Step 1: Determine what fraction of a whole circle is created by a 45 degree angle: It is 1/8.

Step 2: Determine the area of the entire circle: It is A = pi(8 cm)^2, or

A = 3.14(64) cm^2 = 200.96 cm^2

Step 3: Multiply this area by 1/8: (1/8)(200.96 cm^2) = 25.12 cm^2