In a circle centered at point O, the ratio of the area of sector AOB to the area of the circle is 3/5. What is the approximate measure, in radians, of the central angle corresponding to AB? Round the answer to two decimal places.

Question

In a circle centered at point O, the ratio of the area of sector AOB to the area of the circle is  3/5. What is the approximate measure, in radians, of the central angle corresponding to AB? Round the answer to two decimal places.

anonymous · Answer

so basically, pi*r^2* x/360 = 3/5* pi*r^2
so x/360 = 3/5 when you cancel things
so x = 360*3/5 = 216 i think 
3.77 radians

anonymous · Answer

thank you!!! and thanks for writing out the formula!

anonymous · Answer

haha welcome :)
 all tthe best :)

anonymous · Answer

I understand how you got the 216 just not the 3.77