# The area of this circle is 96π m^{2}. What is the area of a 30° sector of this circle?

**Solution:**

Given: Area of circle is 96π m^{2}

Area of 2π radians is 96π m^{2}

⇒ πr^{2 }= 96π m^{2}

Angle subtended at the center is θ = 30º

Area of a Sector of Circle = (θ/360º) × πr^{2}

Area = (30º/360º) × (96π)

= (96π)/12 = 8π m^{2}

Area of 30° sector of this circle = 8π m^{2}.

## The area of this circle is 96π m^{2}. What is the area of a 30° sector of this circle?

**Summary:**

If the area of this circle is 96π m^{2}, then the area of a 30° sector of this circle is 8π m^{2}.

Math worksheets and

visual curriculum

visual curriculum