Question

the area of a circular lawn is 154 m square find its circumference

Answer 1

Area of circular lawn = 154
Πr^2 = 154
22/7 × r^2 = 154

r^2 = 154 × 7/22
r^2 = 49
r = 7

Circumference of circle = 2Πr
= 2×22/7/7
= 44m

I hope it will help :)

Answer 2

$\star\small\sf\underline\blue{Given:-}$

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• The area of a circular lawn is 154 m square.

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$\star\small\sf\underline\blue{Find \: Out:-}$

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• The circumference of circular lawn = ?

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$\star\small\sf\underline\blue{Solution:-}$

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$\sf \: Area \: of \: lawn = 154 \: m {}^{2} \\ \\ \therefore \sf \: \pi \: r {}^{2} = 154 \: m {}^{2} \\ \\ \sf \: \dfrac{22}{7} \times r {}^{2} = 154 \: m {}^{2} \\ \\ \sf r {}^{2} = \dfrac{ \cancel{154}\times 7}{ \cancel{22} } \\ \\ \sf \: r {}^{2} = 7 \times 7 \\ \\ \therefore \sf \: r = \sqrt{49} \\ \\ \star \: \boxed{\sf \: {r = 7 \: m}} \\ \\ \\ \\ \therefore \sf \: Circumference \: of \: circular \: lawn = 2\pi \: r \\ \\ \sf \: Circumference \: of \: circular \: lawn =2 \times \dfrac{22}{ \cancel7} \times \cancel7 \\ \\ \sf \: Circumference \: of \: circular \: lawn =2 \times 22 \\ \\ \sf \: Circumference \: of \: circular \: lawn = \boxed {\sf \: 44 \: m}$

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$\star\small\sf\underline\blue{AnswEr:-}$

• The circumference of circular lawn is 44 m.