SOLUTION: 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.

Algebra ->  Circles -> SOLUTION: 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.       Log On


   

Question 965765: 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. 6.1 m^2
B. 12.2 m^2
C. 30.5 m^2
D. 122.1 m^2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a circle is,
A=pi%2Ar%5E2=100pi
The entire circle's angular measure is 360.
Set up a ratio to get the area of the sector.
%28100pi%29%2F360=A%2F140
A=100pi%2A%28140%2F360%29
A=100pi%2A%287%2F18%29
A=%28350pi%29%2F9
Multiply that out to get your answer.