A sector of a circle has a central angle of 45. Find the area of the sector if the radius of the circle is 15 cm.

Question

Mathematics

Trace Walter

2 August, 00:16

A sector of a circle has a central angle of 45. Find the area of the sector if the radius of the circle is 15 cm.

+3

Answers (1)

Know the Answer?

Jayda · Answer 1

A = 28.125 * pi cm^2

A = 88.357 cm^2

Step-by-step explanation:

Area of a sector is 1/2 r^2 theta where theta is in radians

convert 45 degrees to radians

theta = 45 * pi/180 = pi/4

A = 1/2 * 15^2 * pi/4

A = 1/2 * 225 * pi/4

A = 28.125 * pi cm^2

A = 88.357 cm^2