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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