Question

What is the area of the shaded sector?

Answer 1

The area of the shaded sector is one-fourth of the area of the whole circle so:
$area = r^2 \pi \\ area = 6^2 \pi \\ area = 36 \pi$
area of shaded region$= \frac{36 \pi }{4} \\ area = 9$
The area of the shaded region is 9pi units^2

Answer 2

Answer:

The correct option is B.

Step-by-step explanation:

The area of a circle is

$A=\pi r^2$

where, r is the radius of the circle.

The radius of the given circle is 6 units.

The area of given circle is

$A=\pi (6)^2$

$A=\pi (36)$

$A=36\pi$

The area of complete circle is 36π units².

From the given figure it is clear that 1/4th part of circle is shaded. The area of 1/4 th circle is

$A_1=\frac{1}{4}A$

$A_1=\frac{1}{4}(36\pi)$

$A_1=9\pi$

The area of shaded sector is 9π units². Therefore, the correct option is B.