SOLUTION: A circle has a radius of 5cm . A sector of the circle has a central angle of {{{7pi/6}}} radians. Find the area of the sector. Do not round any intermediate computations. Round

Algebra ->  Trigonometry-basics -> SOLUTION: A circle has a radius of 5cm . A sector of the circle has a central angle of {{{7pi/6}}} radians. Find the area of the sector. Do not round any intermediate computations. Round      Log On


   

Question 855213: A circle has a radius of 5cm . A sector of the circle has a central angle of 7pi%2F6 radians. Find the area of the sector.
Do not round any intermediate computations. Round your answer to the nearest tenth.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Set up a ratio.
2%2Api is to the entire area of the circle as %287%2F6%29pi is to A.
%282%2Api%29%2F%28pi%2A5%5E2%29=%28%287%2Api%29%2F6%29%2FA
2%2F25=%28%287%2Api%29%2F6%29%2FA
A=%28%287%2Api%29%2F6%29%2F%282%2F25%29
A=%28175%2F12%29pi