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SSC CHSL 2023 PYQ — Question 73

SSC CHSL - 11 Aug 2023 - Shift 2 • Quantitative Aptitude • Q73

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A copper wire is bent in the form of a square, and it encloses an area of 30.25 cm2. If the same wire is bent to form a circle, then find the area of the circle. [Use π=227\pi=\frac{22}{7}]

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 38.50 cm2.

Each side of the square = √30.25 cm = 5.5 cm

Perimeter of square = 4 × 5.5 = 22 cm

Let the tadius of the circle = r cm

So, 2πr = 22

⇒ 2 × (22/7) × r = 22

⇒ r = 7/2

Area of circle = πr2 = (22/7) × (7/2)2 = 38.5 cm²

Therefore, the area of the circle is 38.5 cm2.