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in Areas Related To Circles by (44.3k points)

The perimeter of a certain sector of a circle of radius 6.5 cm in 31 cm. Find the area of the sector.

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Best answer

Perimeter of a sector of circle = 31 cm

Radius = 6.5 cm

Arc length = 31 – (6.5 + 6.5) = 18 cm

Now, Area of sector = 1/2 x Arc length x radius

= 1/2 x 18 x 6.5

= 58.5 cm2

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