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From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed. (as shown in the following figure).

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Question

From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed. (as shown in the following figure). Find the area of the remaining sheet. (Take `pi = 22/7`)

Sum
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Solution

Area of bigger circle = `22/7 xx 14 xx 14`

= 616 cm2

Area of 2 small circles = `2 xx pir^2`

= `2 xx 22/7 xx 3.5 xx 3.5`

= 77 cm2

Area of rectangle = Length × Breadth

= 3 × 1

= 3 cm2

Remaining area of sheet = 616 - 77 - 3

= 536 cm2

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