Question

Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.

The measure of central angle ABC is StartFraction pi Over 2 EndFraction radians.


What is the area of the shaded sector?


6Pi units squared

9Pi units squared

18Pi units squared

36Pi units squared

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The area of the shaded sector is 54 pi units squared

How to calculate the area of a sector.

The formula for calculating the area of a sector is expressed as:

$A = \frac{\theta}{360} \times \pi r^2$

Given the following parameters

$\theta = \pi/2\\r = 6units$

Substitute the given parameters into the formula

$A=\frac{90}{360} \times \pi (6)^3 \\A = \frac{1}{4} \times 216\pi\\A = 54 \pi units^2$

Hene the area of the shaded sector is 54 pi units squared

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