The circumference of a circle is twice the perimeter of a rectangle The area of the circle is 5544sq...........

Quantitative Aptitude ( CCS) Mensuration 2D

The circumference of a circle is twice the perimeter of a rectangle. The area of the circle is 5544sq cm. What is the area of the rectangle if the length of the rectangle is 30cm ?

850sq cm

990sq cm

1080sq cm

1150sq cm

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Explanation:

Answer & Explanation
Answer – C.1080sq cm
Explanation :
Area of circle = (22/7)*r2
5544 = (22/7)*r2
r2= 5544*7/22
r = 42
circumference of the circle = 2*(22/7)*42 = 264cm
perimeter of the rectangle = 2(30+b)
264/2 = 60+2b
132 = 60+2b
2b = 72
b = 36cm
Area of the rectangle = 36*30 = 1080sq cm