Question

The circumference of a wheel is 22 m . find its diameter​

Answer 1

${\boxed{\underline{ \orange{\tt{Required \: \: answer:-}}}}}$

★GIVEN:-

• Circumference of Wheel = 22m

★TO FIND:-

• Diameter of Wheel

★FORMULA USED:-

• Circumference = 2πr

• Diameter = 2r

★SOLUTION:-

$⇝\displaystyle \sf{Circumference = 2πr }$

$⇝\displaystyle \sf{22 = 2 \times \frac{22}{7} r }$

$⇝\displaystyle \sf{ \frac{ \cancel{22} \times7 }{2 \times \cancel{22}} = r }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ⇝\displaystyle \sf{ \boxed{ \underline{ \purple{ r = \frac{7 }{2 } }}}}$

Now, We got the radius

we can easily find the Diameter

$\leadsto \displaystyle \sf{Diameter = 2r}$

$\leadsto \displaystyle \sf{Diameter = \cancel{ 2} \times \frac{7}{ \cancel{2}} }$

$\huge{\fbox{\fcolorbox{cyan}{pink}{díαmєtєr = 7m}}}$

Answer 2

$\huge\sf\underline{Answer} :$
• Diameter of wheel is 7m.
$\\ \huge\sf\underline{Solution} :$
$\large\sf\underline{Given}:$
The circumference of a wheel is 22m.
$\\ \large\sf\underline{To \: find }:$
Diameter of the wheel.

We know that,
$\\ \large\boxed{\tt Circumference \: of \: circle =\: 2πr}$
So,
$\\ \large\implies 2πr=\: 22 \\ \\ \large \implies 2×\frac{22}{7}×r=22 \\\\ \large\implies \cancel{22}×\frac{7}{\cancel{22}}×\frac{1}{2} \\\\ \large\implies \boxed{r = \frac{7}{2} }$
We also know that,
$\\ \large \boxed{\tt Diameter = 2×radius}$
So,
Diameter of wheel = $\cancel{2}×\frac{7}{\cancel{2}}$
Therefore ,
Diameter of wheel = 7m.