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 cm^{2}

and area of 3 circles = `3 xx pir^2`

= `3 xx 22/7 xx 7xx 7 = 462` cm^{2}

∴ Area of shaded portion

= 588 - 462 = 126 cm^{2}

Concept: Area of Circle

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