- 264 sq. cm
- 616 sq. cm
- 488 sq. cm
- 492 sq. cm

Option 2 : 616 sq. cm

Free

Indian Army GD All India Mock Test 2021

34144

50 Questions
100 Marks
60 Mins

Area of the square = 484 sq. cm

Let each side b x cm

x^{2} = 484

⇒ x = √484 = 22 cm

∴ Length of the wire = 4 × 22 = 88 cm

∴ Circumference of the desired circle = 88 cm

⇒ 2 × (22/7) × radius = 88

⇒ radius = 14 cm

∴ Area = πr^{2} = (22/7) × 14 × 14 = 616 sq. cm

__Smart Trick__

Here, area of circle is a multiple of π and radius of the circle. Hence, answer must be a multiple of 11 and 7.

In all given options, we find 616 is the only option that is divisible by 7 and 11 both.

∴ Option 2 is the correct answer.

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