Question

the circumference of a circular sheet is 154m, find its radius.[Take π=22/7] *

1886m²

24.5m

13m

​

Answer 1

Answer:

circumference=2πr

=2×22/7×r

=44/7r

but it is given that circumference=154 m

according to the question

44/7r=154

44=154×7r

44=1078r

r=1078/44

r= 24.5 m

Step-by-step explanation:

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Answer 2

Correct question

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

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Given

• The circumference of a circular sheet is 154m.

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To find

• Radius of the circle.

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Solution

• Let the radius of the circle be x m.

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We know that

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Circumference_{(Circle)} = 2 \pi r{\bigstar}}}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {2 \pi r = 154}$

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$\tt:\implies\: \: \: \: \: \: \: \: {2 \times \dfrac{22}{7} \times r = 154}$

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$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{44}{7} \times r = 154}$

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$\tt:\implies\: \: \: \: \: \: \: \: {r = \dfrac{\cancel{154} \times 7}{\cancel{44}}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {r = 3.5 \times 7}$

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$\tt:\implies\: \: \: \: \: \: \: \: {r = 24.5m}$

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Therefore, the radius is 24.5m.

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