Please help me thanks please

Question

asked Jul 22, 2022 172k views

1 Answer

Cory Mawhorter · Answer 1 · 2022-07-26T23:46:26+0000

Answer:

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.