The area of this circle is 96π m². What is the area of a 30° sector of this circle?

Solution:

Given: Area of circle is 96π m²

Area of 2π radians is 96π m²

⇒ πr² = 96π m²

Angle subtended at the center is θ = 30º

Area of a Sector of Circle = (θ/360º) × πr²

Area = (30º/360º) × (96π)

= (96π)/12 = 8π m²

Area of 30° sector of this circle = 8π m².

The area of this circle is 96π m². What is the area of a 30° sector of this circle?

Summary:

If the area of this circle is 96π m², then the area of a 30° sector of this circle is 8π m².