Question

if the circumference of a circular sheet is 154m ,find its radius .also find the area of the sheet. Use22/7

Answer 1

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$Circumference \: \: of \: \: circle = 2\pi r = 154 \\ \\ \\ r = \frac{154 \times 7}{2 \times 22} = \frac{1078}{44} = 24.5$

Now,

$Area \: \: of \: \: circle = \pi {r}^{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{22}{7} \times {(24.5)}^{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{22}{7} \times \frac{60025}{100} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1320550}{700} = 1886.5 \: {m}^{2}$

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