Is it true that the distance travelled by a circular wheel of diameter d cm in one revolution is 2 $π$ d cm? Why?

No, it cannot be exactly determined.

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No, it is

2 π

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No, it is

π

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No, it is

π

r when d=2r.

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Solution

The correct option is C No, it is $π$ d.
$G i v e n - d = d i a m e t e r o f a w h e e l . T o f i n d o u t - T h e s t a t e m e n t, t h a t t h e d i s t a n c e D t r a v e l l e d b y t h e c i r c u l a r w h e e l i n o n e r e v o l u t i o n = 2 π d, i s t r u e o r n o t . S o l u t i o n - d = 2 r = d i a m e t e r o f a w h e e l w h e n r i s t h e r a d i u s o f t h e w h e e l . ∴ T h e c i c u m f e r e n c e o f t h e w h e e l = 2 π r . W e k n o w t h a t t h e d i s t a n c e D t r a v e l l e d b y a c i r c u l a r w h e e l i n o n e r e v o l u t i o n = t h e c i c u m f e r e n c e o f t h e w h e e l . H e r e D = 2 π r = π d . ∴ T h e s t a t e m e n t D = 2 π d i s n o t c o r r e c t . A n s - O p t i o n C .$

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The radius of a circular wheel is 42 cm. Find the distance travelled by it in:

(i) 1 revolution;

(ii) 50 revolutions;

(iii) 200 revolutions;

The distance travelled by a wheel in one revolution is equal to its circumference.

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