Nine times the area of a circle is same as the three times the area of a square. What is the ratio of the diameter of the circle and diagonal of the square?

Question

Question

This question was previously asked in

SSC MTS (2022) Official Paper (Held On: 16 May, 2023 Shift 2)

Answer 1

Given:

Nine times the area of a circle is the same as the three times the area of a square.

Formula used:

Area of a circle = πr² (r = radius)

Diameter = 2 × radius

Area of a square = a². (a is the side of the square)

The diagonal of the square = a√2

Calculation:

As per the question,

9πr²= 3 a2

⇒ 3πr2 = a2

⇒ \(\sqrt{3\pi}\) = a/r

⇒ 2r / a√2 = √2 : \(\sqrt{3\pi}\)

The correct option is 1

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