Circle L is shown. Line segments K L and M L are radii. The length of K L is 9. Angle M L K is 120 degrees. Sector M L K with a 120 degree angle is shaded. What is the area of the shaded sector of the circle? 9Pi units squared 27Pi units squared 81Pi units squared 162Pi units squared

27Pi units squared

Step-by-step explanation:

step 1

Find the area of complete circle L

The area of circle is given by

we have

substitute

step 2

Find the area of the shaded sector

we know that

The area of complete circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of sector by a central angle of 120 degrees

hard

step-by-step explanation: