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
