Q49 of 157 Page 831

The perimeter of the quadrant of a circle is 25 cm. Find its area.

We know perimeter of a sector = Length of its arc + 2R → eqn1


Where R = radius of the sector.


Perimeter = 25 cm



θ = 90°











⇒ R = 7 cm → eqn2







∴ Area of the quadrant = 38.5 cm2


Area of the quadrant is 38.5 cm 2.


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