Question

The diameter of a wheel is $1.26m$. The distance covered in $500$ revolution is ___________

Answer 1

Solution:

Step 1: Calculate the distance covered in one revolution:

Diameter of circle is $1.26m$.

$\therefore$Radius, $r=\frac{1.26m}{2}=0.63m$

Distance covered in one revolution = circumference of circle

Circumference of circle $=2\mathrm{\pi r}$

Substitute the value of $r=0.63m$ in the formula, we get

Circumference of circle $=2\mathrm{\pi }\times 0.63$

Step 2: Calculate the distance covered in $500$ revolutions:

Distance covered in $500$ revolutions

$=$ $500\times 2\mathrm{\pi }\times 0.63m$

$=1000\mathrm{\pi }\times 0.63$

$=630\times \frac{22}{7}[\because \mathrm{\pi }=\frac{22}{7}]$

$=1980$

Final answer: Distance covered in $500$ revolution is$\mathbf{1980}\mathbf{}\mathit{m}$.