Question

The measure of central angle ABC is radians.

Answer 1

Answer:

$9\pi\ units^{2}$

Step-by-step explanation:

we know that

The measure of central angle ABC is $\frac{\pi}{2}$ radians

so

$\frac{\pi}{2}=90\°$

$360\°$ subtends the complete circle

The area of the shaded sector is the area of a quarter circle

so

The area of a quarter circle is equal to

$A=\frac{1}{4}\pi r^{2}$

we have

$r=6\ units$

substitute

$A=\frac{1}{4}\pi (6)^{2}=9\pi\ units^{2}$