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NCERT Exemplar Solutions Class 7 Mathematics Solutions for Perimeter and Area - Exercise in Chapter 9 - Perimeter and Area
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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
Answer:
(b) 14 cm
From the question, it is given that, the side of the square is 22 cm.
And also, the perimeter of a square and the circumference of a circle are equal, because the length of the wire is the same.
Perimeter of square = circumference of circle
4 × side = 2 × π × r
4 × 22 = 2 × (22/7) × r
r = (4 × 22 × 7)/(2 × 22)
r = 14 cm
Therefore, radius of circle is 14 cm.
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