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.
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