Question

A road roller makes $200$ rotation in covering $2200m$ .Find the radius of the roller.

Answer 1

Roller make $200$ rotation to cover a distance $=2200m$

$\therefore 200\times$ Circumference of wheel $=2200$

$2\times \frac{22}{7}\times r\times 200=2200$

$r=2200\times \frac{1}{2}\times \frac{7}{22}\times \frac{1}{200}$

$r=1100\times \frac{1}{200}\times \frac{7}{22}$

$r=\frac{11}{2}\times \frac{7}{22}$

$r=\frac{7}{4}=1.75m$

$\therefore$ Radius $=1.75m$