Sum
In the following figure, a rectangle ABCD enclosed three circles. If BC = 14 cm, find the area of the shaded portion (Take π = 22/7)
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Solution
In rectangle ABCD, BC = 14 cm
∴ Radius of each circle = `14/2 = 7` cm
∴ Length of rectangle = `(7 + 7 + 7) xx 2`
= 42 cm
Now area of rectangle = `l xx b = 42 xx 14`
= 588 cm2
and area of 3 circles = `3 xx pir^2`
= `3 xx 22/7 xx 7xx 7 = 462` cm2
∴ Area of shaded portion
= 588 - 462 = 126 cm2
Concept: Area of Circle
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