A wire of square shape with an area of 676 cm² is bent in the form of a circle. Find the diameter of the circle (in cm).

Question

Question

This question was previously asked in

AFCAT 01/2023 Memory Based Paper 26 Feb 2023

Answer 1

Given:

Area of the square wire = 676 cm²

Concept Used:

The length of the wire remains same even when the shape is changed.

Area of a square = side²

Circumference of a circle = 2πr

Diameter of a circle = 2r

Where,

r = Radius, d = Diameter

Calculation:

Side of square = √676 cm²= 26 cm

Here, Length of wire = Perimeter of the square

⇒ 4 × Side = 4 × 26 = 104 cm

This length becomes the circumference of the circle,

So, 104 cm = 2πr

⇒ r = 104/(2 × π) = 16.54 cm

⇒ d = 2r = 2 × 16.54 = \(33\frac{1}{11}\) cm

∴ The diameter of the circle is approximately \(33\frac{1}{11}\) cm.