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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