The wheel of a cycle covers $660$ m by making $500$ revolutions. What is the diameter
of the wheel (in cm)?

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Solution

$T h e d i s t a n c e c o v e r e d b y t h e w h e e l = d = 660 m e t e r s & t h e n u m b e r o f r e v o l u t i o n = n = 500 ∴ T h e d i s t a n c e c o v e r e d i n 1 r e v o l u t i o n = \frac{660}{500} m = 1.32 m . B u t T h e d i s t a n c e c o v e r e d i n 1 r e v o l u t i o n = T h e c i r c u m f e r e n c e o f t h e w h e e l . ∴ T h e c i r c u m f e r e n c e o f t h e w h e e l = C = 1.32 m . N o w t h e d i a m e t e r D = \frac{C}{π} w h e n π = \frac{22}{7} ∴ D = \frac{1.32}{\frac{22}{7}} m = 0.42 m = 42 c m . A n s - t h e d i a m e t e r o f t h e w h e e l i s 42 c m .$

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The wheel of a cycle covers 660 m by making 500 revolutions. What is the diameterof the wheel (in cm)?

The wheel of a cycle covers $660$ m by making $500$ revolutions. What is the diameter
of the wheel (in cm)?