Question

What is the area of the sector shown

Answer 1

Answer:

$D.~ 34.2~cm^2$

Step-by-step explanation:

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

Area of sector of circle

$area = \dfrac{n}{360^\circ}\pi r^2$

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

$area = \dfrac{20^\circ}{360^\circ}\pi (14~cm)^2$

$area = \dfrac{1}{18}(3.14159)(196~cm^2)$

$area = 34.2~cm^2$