Question

The area of the shaded sector is shown. Find the radius of circle M. Round your answer to the nearest hundredth.

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the sector, its area and the angle at the center are not given.

I will solve this using the following illusration

The area of a sector is:

$Area= \frac{\theta}{360} * \pi r^2$

Assume that:

$\theta = 120$

$Area = 20$

The equation becomes

$20= \frac{120}{360} * \pi r^2$

Simplify

$20= \frac{1}{3} * \pi r^2$

Take: $\pi = 3.14$

$20= \frac{1}{3} *3.14* r^2$

Cross Multiply

$3.14 * r^2 = 20 * 3$

Solve for $r^2$

$r^2 = \frac{20 * 3}{3.14}$

$r^2 = 19.11$

Take square roots

$r = \sqrt{19.11$

$r = 4.4$