1.

A circle and a rectangle have the same perimeter. The sides of the rectangle are 12cm and 10 cm. What is the area of the circle?1). 80 cm22). 154 cm23). 22 cm24). 44 cm2

Answer»

As we know, perimeter of a circle of radius r = 2πr

And perimeter of a rectangle of length L and breadth B = 2 (L + B)

ACCORDING to the given information:

 A circle and a rectangle have the same perimeter

∴ 2π r = 2 (L + B)

Whereas, Length of the rectangle = 12 cm

And breadth of the rectangle = 10 cm

∴ 2 × (22/7) × r = 2 × (12 + 10) = 44

⇒ r = 7

Now, Area of the circle of radius r = π r2

∴ (22/7) × 7 × 7 = 154

Hence, area of the circle is 154 cm2


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