Question

What is the area of the sector shown

Answer 1

`D.~ 34.2~cm^2`

Explanation:

An arc measure of 20 degrees corresponds to a central angle of 20 degrees.

Area of sector of circle

`area = (n)/(360^\circ)\pi r^2`

where n = central angle of circle, and r = radius

`area = (20^\circ)/(360^\circ)\pi (14~cm)^2`

`area = (1)/(18)(3.14159)(196~cm^2)`

`area = 34.2~cm^2`