A sector of a circle has a central angle of 45 ∘ . Find the area of the sector if the radius of the circle is 19 cm.

Answer 1

a circle with 19 cm radius has area = pi(19^2) = 361 pi cm^2

area of a sector with 45 degree angle = 45/360 x 361 pi = slightly over 45 pi

= about 141.8 cm^2

Answer 2

The sector is 1/8 of the area of the circle. 45º is 1/8 of 360º

Calculate the area and multiply by 1/8.d

Answer 3

45deg = pi/4 rad

A = pi/4 * r^2 = pi/4 * 19^2