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

Answer:

r = 5.97 cm

Step-by-step explanation:

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

$A = r*S = 2\pi*r^{2}*\frac{58}{360}$

Where:

r: is the radius

A: is the area

The radius is:

$r = \sqrt{\frac{A}{2*\pi*58/360}} = \sqrt{\frac{36.07 cm^{2}}{2*\pi*58/360}} = 5.97 cm$

Therefore, the radius of Circle M is 5.97 cm.

I hope it helps you!