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Areas Related to Circles
RD Sharma
CBSE
Grade 10

Question:

A wire can be bent in the form of a circle of radius $56\text{ cm}$. If it is bent in the form of a square, then its side will be:
(a) $88\text{ cm}$
(b) $44\text{ cm}$
(c) $176\text{ cm}$
(d) $112\text{ cm}$

Step-by-Step Solution

Key Concept: Length of wire $= 2 \times \dfrac{22}{7} \times 56 = 352\text{ cm}$. Side of square $= 352 / 4 = 88\text{ cm}$.
Length $= 2 \times 22 \times 8 = 352\text{ cm} \Rightarrow a = 352 / 4 = 88\text{ cm}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating square side $= 88\text{ cm}$: 1.0 Mark

Correct Answer: $88\text{ cm}$
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