#### Question

A bicycle whell makes 5000 revolutions in moving 11 km. Find the diameter of the wheel

#### Solution

Let the radius of the wheel be r cm.

Distance covered by the wheel in one revolution

`=`

`= \frac { 11 }{ 5000 } × 1000 × 100 cm = 220 cm`

∴ Circumference of the wheel = 220 cm

`⇒ 2πr = 220 cm ⇒ 2 × \frac { 22 }{ 7 } × r = 220`

⇒ r = 35 cm

∴ Diameter = 2r cm = (2× 35) cm = 70 cm

Hence, the diameter of the wheel is 70 cm.

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Solution A bicycle whell makes 5000 revolutions in moving 11 km. Find the diameter of the wheel Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle.