Question

Find the radious of a circle whose circumference is 176 cm

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Find the diameter of a wheel whose circumference is 264 cm.

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Answer 1

176 = 2×22/7×r
1232 = 2×22×r
r = 1232/44
r = 28cm

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264 = 2×22/7×r
1848 = 2×22×r
r = 1848/43
r = 42cm

Since, d = 2r
d = 2×42
d = 84cm

Answer 2

$\huge{\mathfrak{\underline{Solution:}}}$



1. $\sf \large Given:$

Circumference = 176 cm

Radius = ?

$\sf{Circumference = 2\pi r} \\ \sf \Rightarrow 176 \: cm = 2 \times \frac{22}{7} \times r \\ \Rightarrow \sf \frac{176 \times 7}{2 \times 22} \: cm = r \\ \Rightarrow \sf 28 \: cm = r$

Radius = 28 cm

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2. $\sf \large Given:$

Circumference = 264 cm

Diameter = ?

$\sf Circumference = \pi d \\ \Rightarrow \sf 264 \: cm = \frac{22}{7} \times d \\ \Rightarrow \sf \frac{264 \times 7}{22} \: cm = d \\ \Rightarrow \sf 84 \: cm = d$

Diameter = 84 cm