Question

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
give step by step explaination

Answer 1

Answer:

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Answer 2

Answer :

›»› The radius the circle is 14 cm.

Given :

• A wire is bent to form a square of side 22 cm.
• The wire is rebent to form a circle.

To Find :

• The radius of the circle = ?

Solution :

Let us assume that, the radius of the circle is r cm.

As it is given that, the wire is bent to form a square and the wire is rebent to form a circle. So,

→ Circle of circle = Perimeter if square.

→ 2πr = 4a

→ 2 * 22/7 * r = 4 * 22

→ 44/7 * r = 4 * 22

→ 44/7r = 4 * 22

→ 44r/7 = 4 * 22

→ 44r/7 = 88

→ 44r = 88 * 7

→ 44r = 616

→ r = 616/44

→ r = 14

Hence, the radius of a circle is 14 cm.

Option (b) 14 cm is correct ✔.