The measure of central angle ABC is π/2 radians. What is the area of the shaded sector?

6π units², 9π units², 18π units², 36π units²

Solution:

The measure of central angle ABC is π/2 radians (Given)

Shaded sector = 1/4 of the area of the circle

We know that 

Area of a circle = πr² = π × 6² = 36π

So the area of ABC = 1/4 × 36π

= 9π units²

Therefore, the area of the shaded sector is 9π units²

The measure of central angle ABC is π/2 radians. What is the area of the shaded sector?

Summary:

The measure of central angle ABC is π/2 radians. The area of the shaded sector is 9π units².