CUET UG 2025 — General Test Geometry

2025mcqmedium

When a particular wire is bent into the shape of a square, then the area of the square turns out to be $81cm^2$ . When the same wire is bent into a circle, then the radius of the circle (correct to two decimal places) is

Official previous-year question

Held on 22 May 2025 · Verified 13 Jul 2026.

Options

A
2.86
B
5.73
C
11.46
D
18

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Solution

The wire is bent into a square with area $81 \text{ cm}^2$ .

Area of square $= (\text{side})^2$

$(\text{side})^2 = 81$

$\text{side} = \sqrt{81} = 9 \text{ cm}$

The perimeter of the square equals the length of the wire.

Perimeter of square $= 4 \times \text{side}$

Length of wire $= 4 \times 9 = 36 \text{ cm}$

When the same wire is bent into a circle, the length of the wire equals the circumference of the circle.

Circumference $= 2\pi r$

$2\pi r = 36$

$r = \dfrac{36}{2\pi}$

$r = \dfrac{18}{\pi}$

$r = \dfrac{18}{3.14159}$

$r = 5.729...$

$r \approx 5.73 \text{ cm}$

Therefore, the radius of the circle is $5.73 \text{ cm}$ .

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Solution

The wire is bent into a square with area $81 \text{ cm}^2$ .

Area of square $= (\text{side})^2$

$(\text{side})^2 = 81$

$\text{side} = \sqrt{81} = 9 \text{ cm}$

The perimeter of the square equals the length of the wire.

Perimeter of square $= 4 \times \text{side}$

Length of wire $= 4 \times 9 = 36 \text{ cm}$

When the same wire is bent into a circle, the length of the wire equals the circumference of the circle.

Circumference $= 2\pi r$

$2\pi r = 36$

$r = \dfrac{36}{2\pi}$

$r = \dfrac{18}{\pi}$

$r = \dfrac{18}{3.14159}$

$r = 5.729...$

$r \approx 5.73 \text{ cm}$

Therefore, the radius of the circle is $5.73 \text{ cm}$ .

CUET UG 2025 — General Test Geometry

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CUET UG 2025 — General Test Geometry

Options

Did you get this right?

Solution

Your note

CUET UG Geometry in other years

More CUET UG Geometry questions

Other General Test topics for CUET UG

General Knowledge

Logical Reasoning

Arithmetic

Quantitative Reasoning

Current Affairs

Keep practicing Geometry