Question

if the circumference of a circular sheet is 154m find its radius also find the area of the sheet
$\pi = \frac{22}{7}$
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Answer 1

hi

circumference=2*22/7*r

2x22/7xr=154 then

r=154x1/2x7/22

 =49/2

area=22/7xr^2

         3773/2

1886.5m square

hope its correct

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Answer 2

$\large\underline{\bigstar\boldsymbol{\; Solution:}}$

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Given that,

Circumference of the circular sheet = 154

Circumference of circle = 2πr

Substitute the value of circumference in the formula

$\large \sf { 154=2πr }$

$\large \sf take \: \pi = \frac{22}{7}$

$\large \sf 154 = 2 \times \frac{22}{7} \times r$

$\large \sf r \: = \frac{154 \times 7}{22 \times 2}$

$\large \rm r = 24.5$

$\large\underline\mathfrak\green{∴the\:radius\:of\:circular\:sheet=24.5\:m}$

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( To find the area of circular sheet )

Area of circle = πr²

Substitute r = 24.5 in the formula

$\large \rm A\: = \frac{22}{7} \times (24.5) ^{2}$

$\large \rm A= \frac{600.25 \times 7}{22}$

$\large \rm A = 1886.5$

$\large \underline\mathfrak\orange{∴Area\:of\:the\:circular\:sheet=1886.5}$

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Hence,

$\qquad\qquad\boxed{\bf{\mid{\overline{\underline{\bigstar\: Radius=24.5\:m }}}}\mid}$

$\qquad\qquad\boxed{\bf{\mid{\overline{\underline{\bigstar\: Area=1886.5}}}}\mid}$

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