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

6π units^{2}, 9π units^{2}, 18π units^{2}, 36π units^{2}

**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 = πr^{2} = π × 6^{2} = 36π

So the area of ABC = 1/4 × 36π

= 9π units^{2}

Therefore, the area of the shaded sector is 9π units^{2}

## 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 units^{2}.