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

Answer:

(B)$9 \pi units squared$

Step-by-step explanation:

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

AB=6

Central Angle of ABC $=\dfrac{\pi}{2} radians$

Now, Area of a Sector  

$\text{Area of a Sector}=\dfrac{\theta}{2\pi} \times \pi r^2 \\=\dfrac{\frac{\pi}{2}}{2\pi} \times \pi \times 6^2\\=\dfrac{\pi}{4\pi} \times \pi \times 6^2\\=\dfrac{36}{4} \times \pi \\= 9 \pi units squared$

Answer 2

Answer:

9

Step-by-step explanation: