Answer:
[tex] D.~ 34.2~cm^2 [/tex]
Step-by-step explanation:
An arc measure of 20 degrees corresponds to a central angle of 20 degrees.
Area of sector of circle
[tex] area = \dfrac{n}{360^\circ}\pi r^2 [/tex]
where n = central angle of circle, and r = radius
[tex] area = \dfrac{20^\circ}{360^\circ}\pi (14~cm)^2 [/tex]
[tex] area = \dfrac{1}{18}(3.14159)(196~cm^2) [/tex]
[tex] area = 34.2~cm^2 [/tex]
