Question

The measure of central angle ABC is pi/2 radians.

What is the area of the shaded sector?

6
9
18
36

Answer 1

$r=6\,\text{units}\qquad \qquad m\angle\text{ABC}=\dfrac{\pi}{2}\,\text{radians}\\\\\\ A=\dfrac{1}{2}\cdot m\angle\text{ABC}\cdot r^2=\dfrac{1}{2}\cdot\dfrac{\pi}{2}\cdot6^2=\dfrac{\pi}{4}\cdot36=9\pi\,\,\text{units}^2$

Answer B.

Answer 2

Based on the calculations, the area of a sector is equal to 9π units².

Given the following data:

Radius = 6 units.

Central angle = π/2

How to calculate the area of the shaded sector?

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = θr²/2

Where:

• r is the radius.

• θ is the central angle.

Substituting the given parameters into the formula, we have;

Area of sector = π/2 × 6²/2

Area of sector = π/2 × 36/2

Area of sector = 36π/4

Area of sector = 9π units².

Read more on radius here: brainly.com/question/14478195

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