Question

14. If the circumference of a circular sheet is 154m, find its radius.

Answer 1

Given,

Circumference of the circular sheet is 154m

Formula of circumference of circle = 2πr

2πr = 154

2 × 22/7 × r = 154

44/7 × r = 154

r = 154 × 7/44

r = 1078/44

r = 24.5

Therefore, radius of the circular sheet is 24.5

Answer 2

Answer:-

• Circumference of circular sheet = 154m.

To find:-

• It's radius.

• Area of the sheet.

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Radius:-

$2 \: \pi \: r = 154 \\ \\ r = \frac{154}{2\pi} \\ \\ r = \frac{154}{2 \times \frac{22}{7} } \\ \\ = \frac{154 \times 7}{2 \times 22} = 24.5$

Hence, radius (r) = 24.5m

Area:-

$\pi \: r {}^{2} \\ \\ = \frac{22}{7} \times (24.5) {}^{2} \\ \\ = \frac{22}{7} \times 24.5 \times 24.5 = 1886.5m {}^{2}$

Hence, area of sheet = 1886.5m^2