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in Areas Related To Circles by (44.3k points)

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

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Circumference of a circle = 8 cm

Central angle = 72°

Now, Circumference of a circle = 2πr

8 = 2πr

r = 14/11 cm

Area of sector = θ/360 x (πr2)

= 72/360 x 22/7 x 14/11 x 14/11

= 1.02 cm2

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