Question

Please help me thanks please

Answer 1

m∠FAN = 80°

Explanation:

Area of a sector is given by the expression,

Area of the sector =
`(\theta)/(360)\pi r^(2)`

Here, θ = central angle subtended by the arc

r = Radius of the circle

By substituting the values from the question,

288π =
`(\theta)/(360)(\pi )(36)^2`

θ =
`(288\pi )/(1296\pi )* 360`

θ = 80°

Therefore, m∠FAN = 80° will be the answer.