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Question

The perimeter of a sector of a circle of radius 5.6 cm is 27.2 cm. Find the area of the sector.

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Solution

Let O be the centre of the circle with radius 5.6 cm and OACB be its sector with perimeter 27.2 cm.
Thus, we have:
OA+OB+arc AB=27.25.6+5.6+arc AB=27.2arc AB=16 cm
Now,
Area of the sector OACBO=12×Radius×l square units
=125.6×16 cm2=44.8 cm2

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