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# A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is

a. 22 cm

b. 14 cm

c. 11 cm

d. 7 cm

**Solution:**

It is given that

Side of a square = 22 cm

__Perimeter of square__ and circumference of circle are equal as the length of wire is same

Based on the question

Perimeter of square = __Circumference of circle__

4 x side = 2 πr

We know that π = 22/7

Substituting the values

4 × 22 = 2 × 22/7 × r

By further calculation

r = (4 × 22 × 7)/ (2 × 22)

r = 14 cm

Therefore, its radius is 14 cm.

**✦ Try This: **A wire is bent to form a square of side 44 cm. If the wire is rebent to form a circle, its radius is

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 4**

## A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is a. 22 cm, b. 14 cm, c. 11 cm, d. 7 cm

**Summary:**

A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is 14 cm

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