Question

A circle has a sector with are of (17/2)pi and a central angle of (17/90)pi radians. What is the area of the circle? Either enter an exact answer in terms of pi or use 3.14 pi and enter your answer as a decimal.

Answer 1

This circle has a sector area of 17pi/2 and a central angle of 17pi/90. 

So, the whole angle of the circle would be 2pi. To find the area of a sector, you can use the formula A=R*Angle

17pi/2= R* 17pi/90
R=45

A=45^2 * pi
A=90 pi or  282.6