Question

If the circumference of a circular sheet is 154m,find its radius. Also find the area of the sheet (take π pi - 22/7)​

Answer 1

Answer:

Step-by-step explanation:

2πr=154

so,r=24.5

area=πr²=22/7×600.25

=1884.725

Answer 2

$\large{\underbrace{\underline{\mathrm{Appropriate\:question}}}}$

• Here's, Its given that the circumference of the circular sheet is 154m and we have to find its radius and area of the sheet. ( π = 22/7 )

━━━━━━━━━━━━━━━━━━━━━━

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

 ‎

Given that,

Circumference of the circular sheet = 154

Circumference of circle = 2πr

Substitute the value of circumference in the formula

$\large \sf { 154=2πr }$

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

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

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

$\large \rm r = 24.5$

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

 ‎

━━━━━━━━━━━━━━━━━━━━━━

 ‎

( To find the area of circular sheet )

Area of circle = πr²

Substitute r = 24.5 in the formula

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

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

$\large \rm A = 1886.5$

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

 ‎

The answer :

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

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