SOLUTION: 25. Can you help me with this geometry question? Find the area of sector AOB of circle O if the measure of angle AOB is 315 degree and the radius is 4 ft. (leave answers in te

Algebra ->  Circles -> SOLUTION: 25. Can you help me with this geometry question? Find the area of sector AOB of circle O if the measure of angle AOB is 315 degree and the radius is 4 ft. (leave answers in te      Log On


   



Question 1157024: 25.
Can you help me with this geometry question?
Find the area of sector AOB of circle O if the measure of angle AOB is 315 degree and the radius is 4 ft. (leave answers in terms of pi and radicals

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
315/360 is 7/8
So the area of the sector is 7/8 the area of the whole circle with the radius of 4 ft.
The whole circle has area 16*pi
The sector has area pi* 16*7/8=14*pi ft^2