Question

Question 1 (1 point)

Answer 1

Question:

What is the area of the SHADED sector of the circle?

Image of the circle is attached.

A) 400π units²

B) 20π units²

C) 180π units²

D) 40π units²

Answer:

C) 180π units²

Step-by-step explanation:

From thr circle, we can see that the given radius is 20 and the shaded part is 162°

The formula to calculate the area of the shaded sector of a circle is =

Area of the circle * fraction of the shaded part of the circle.

We know area of a circle = πr²

Therefore, area of the shaded sector =

$= \pi r^2 * \frac{162}{360}$

$= 20^2 * \pi * 0.45$

$= 400 * 0.45 * \pi$

$= 180 \pi$

Area of the shaded sector of the circle is 180π units²