Question

A 44 cm long wire is bent to form a circle. Find the radius of the circle​

Answer 1

AnsweR :- 14 cm

$\bf \blue{ Given,}$

The length of wire is given and the information that it is bent to form a circle.

$\bf \blue{To \: find : }$

The radius of the circle.

$\bf \blue{How \: to \: find :}$

To find the radius of the circle we need to search out the area of the circle and we will come to know the area from the length of wire. ( 44 sq.cm) Then by the formula of area of circle we will find out the radius.

Formula :-

$\boxed{\sf \pink{Area \: of \: circle = \pi {r}^{2} }}$

$\boxed {\sf\green{value \: of π = \frac {22}{7}}}$

$\large \sf \blue{Solution :}$

Given,

Length of wire = Area of the circle ( wire bent to form circle )

So,

Area of circle = $\rm { 44cm}^{2}$

$\implies\rm\pi {r}^{2}$ = $\rm { 44cm}^{2}$

$\implies \sf \: \frac{22}{7} \times {r}^{2} = {44cm}^{2} \\ \implies \sf \: {r}^{2} = { \cancel{44} \: \: ^{2} } \times \frac{7}{ \cancel{22}} \\ \implies \sf {r}^{ \cancel2} = {14 cm}^{ \cancel2} \\ \therefore \: \sf {r} = 14 cm$

$\rm \pink{hope \: this \: helps..}$

$\rm \blue{@BrainlyHoney}$