Circumference of a circle A is 22 7 times perimeter of a square Area of the square is 441 cm sup2 Wh...........

Quantitative Aptitude ( CCS) Mensuration 2D

Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 441 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?

354.5

346.5

316.5

312.5

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Explanation:

Area = 441 cm²
a = 21 cm
Perimeter of Square = 4 * 21
Circumference of a Circle = 4 * 21 * 22/7
2πr = 4 * 3 * 22
r = 12 * 22 * 7 / 2 * 22 = 42 cm
Radius of Circle B = 42/4 = 10.5 cm
Area of Circle = πr² = 22/7 * 10.5 * 10.5 = 346.5 cm²