Circumference of a circle A is 5 4 times perimeter of a square Area of the square is 961 sq cm What ...........

Quantitative Aptitude ( CCS) Mensuration 2D

Circumference of a circle-A is 5/4 times perimeter of a square. Area of the square is 961 sq. cm. What is the area of another circle-B whose diameter is half the radius of the circle-A?

167.3 sq cm

125.8 sq cm

118.9 sq cm

181.2 sq cm

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Explanation:

Answer & Explanation
Answer – 3.118.9 sq cm
Explanation :
The side of the square = a=√961=31 cm.
Perimeter = 4 X 31 = 124 cm
The circumference of the circle = 5/4 x 124 = 22/7 x 2 x r
Radius = 155*7/44 = 24.6 cm
Half the radius of Circle-A = 12.3 cm.
Radius of Circle-B = 14/2 = 6.15 cm
The area = 22/7 x 6.15 x 6.15 = 54 cm2