The area of a sector of a circle witha radius measuring 30cm 100 pi cm. what is the measure of the central angle that forms the sector?

The central angle is or

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

we have

substitute

step 2

Find the central angle in degrees for a sector with area

Let

x----> the measure of the central angle in degrees

Remember that the area of the circle subtends a central angle of 360 degrees

so

using proportion

step 3

Find the central angle in radians for a sector with area

Let

x----> the measure of the central angle in radians

Remember that the area of the circle subtends a central angle of radians

so

using proportion

d

gimmee one of those gold crowns!

~coco