Question

In circle X, XY = 6 and the area of shaded sector = 15pi Find m/YXZ

Answer 1

Hi,

Explanation:

We are going to calculate in radians:

Let's assume

`\theta=m(\angle{YXZ})\\\\shaded\ area=(\theta*R^2)/(2) =15\pi\\\\\theta=(15\pi*2)/(36) \\\\\boxed{\theta=(5\pi)/(6) }\\`

m∠YXZ=5*180/6°=150°