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Question

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

A
No, it cannot be exactly determined.
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B
No, it is 2π d.
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C
No, it is π d.
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D
No, it is π r when d=2r.
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Solution

The correct option is C No, it is π d.
Givend=diameterofawheel.TofindoutThestatement,thatthedistanceDtravelledbythecircularwheelinonerevolution=2πd,istrueornot.Solutiond=2r=diameterofawheelwhenristheradiusofthewheel.Thecicumferenceofthewheel=2πr.WeknowthatthedistanceDtravelledbyacircularwheelinonerevolution=thecicumferenceofthewheel.HereD=2πr=πd.ThestatementD=2πdisnotcorrect.AnsOptionC.

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