In a
circle with center *O*, central angle *AOB *has a measure of 3π/4*
*radians.

The area of the sector formed by central angle *AOB *is what fraction of the area of the
circle?

Solution:

**The correct answer is 3/8 or .375**

A complete rotation around the point is 360 degrees or 2π radians.

Since the central angle AOB has a measure of 3π/4*
*radians,

it represents (3π/4) / 2π = 3/8 of a complete rotation around the point O.

Therefore, sector formed by central angle *AOB *has area equal to 3/8 area of the
entire circle.