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Question

The circumference of a circle is 8 cm. Find the area of the sector whose central angle is 72°.

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Solution

Let the radius of the circle be r.
​Now,
Circumference=82πr=8r=1411 cm
We have r=1411 cm and θ=72°
Area of sector = θ360°×πr2=72°360°×227×14112=1.02 cm2
Hence, the area of the sector of the circle is 1.02 cm2.

Disclaimer : If we take the circumference of the circle is 8 cm then the area of the sector will be 1.02 cm2. But if we take the circumference of the circle is 88 cm then the area of the sector will be 123.2 cm2

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