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.