Question

A circle has a radius of 10 meters and a central angle AOB that measures 140 degrees. What is the area of sector AOB? Use 3.14 for pi and round your answer to the nearest tenth.

A. 6.1m
B. 12.2m
C. 30.5m
D. 122.1m

Answer 1

check the picture below


`\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta\pi r^2}{360}\qquad \begin{cases} \theta=\textit{central angle in degrees}\\ r=radius \end{cases}`