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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 given figure below). Find the area of the remaining sheet. (Take π = 22/7)



Answer -

Radiusof the circular sheet = 14 cm
∴ Area =πr2 = (22/7) ×14 × 14 cm2
= 616 cm2
Area of 2 small circles = 2 × πr2
= 2 × (22/7) ×3.5 × 3.5 cm2
= 77.0 cm2
Area of the rectangle = l × b
= 3 × 1 cm2 = 3 cm2
Area of the remaining sheet after removing the 2 circles and 1 rectangle
= 616 cm2 – (77 + 3) cm2
= 616 cm2 – 80 cm2 = 536 cm2

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