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 arc AB? Round the answer to two decimal places.

Answer 1

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

Answer- 3.77

Answer 2

Most of the information's required for solving this question is already given. Let us now get down to creating the required equation and getting to the answer.
3/5 = θ/2π
5θ = 6π
θ = (6/5) π
   = (6/5) * 3.14159
   = 18.85/5
   = 3.77
I hope the answer has helped you.