Question

Find the radius of Circle M, if the area of a sector is 36.07 cm^2 and the central angle of that sector is 58º. Round your answers to the hundredths place if necessary

Answer 1

r = 5.97 cm

Explanation:

The area of the sector is given by the following equation:

`A = r*S = 2\pi*r^(2)*(58)/(360)`

Where:

r: is the radius

A: is the area

The radius is:

`r = \sqrt{(A)/(2*\pi*58/360)} = \sqrt{(36.07 cm^(2))/(2*\pi*58/360)} = 5.97 cm`

Therefore, the radius of Circle M is 5.97 cm.

I hope it helps you!