Learn Math Questions

from a handpicked tutor in LIVE 1-to-1 classes

from a handpicked tutor in LIVE 1-to-1 classes

# What is the area of the shaded sector of the circle from the given figure?

**Solution:**

Given,

r = 9, θ = 120°.

**Definition:**

A sector is a portion of a circle that is enclosed between its two radii and the arc adjoining them.

The most common sector of a circle is a semi-circle which represents half of a circle.

We know,

Area of a sector = θ/360° × πr^{2}

Substituting the given values

Area of a sector = 120°/360° × π(9)^{2}

So we get

Area of a sector = 1/3 × 81π

Area of a sector = 27π

Therefore, the area of the shaded sector is 27π.

## What is the area of the shaded sector of the circle from the given figure?

**Summary:**

The area of the shaded sector of the circle from the given figure is 27π.

Math worksheets and

visual curriculum

visual curriculum