Question

O is the centre and area of sector APBO is 5/18 of the area of the circle. Find the value of x​

Answer 1

Answer:

Given : area of sector APBO is 5/18 of the area of the circle.

Let us consider subtended angle as "x".

area of sector = 5/18 area of the circle.

x×πr²/360 = (5/18) πr²

x/360 = (5/18)

x = (360×5)/18

x = 20×5

x = 100°