Question

PLEASE HURRY! 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

b

Explanation:

Answer 2

(B)
`9 \pi $ units squared`

Explanation:

In circle B, AB is one of the radii; and

AB=6

Central Angle of ABC
`=(\pi)/(2)$ radians`

Now, Area of a Sector

`\text{Area of a Sector}=(\theta)/(2\pi) * \pi r^2 \\=((\pi)/(2))/(2\pi) * \pi * 6^2\\=(\pi)/(4\pi) * \pi * 6^2\\=(36)/(4) * \pi \\= 9 \pi $ units squared`