Is it true that the distance travelled by a circular wheel of diameter $d \text{ cm}$ in one revolution is $2 \pi d \text{ cm}$? Why?
(B) False.
The distance travelled by a circular wheel in one revolution is equal to its circumference.
The circumference of a circle with diameter $d$ is given by the formula $\pi d$.
Since $d = 2r$ (where $r$ is the radius),the circumference is $\pi(2r) = 2 \pi r$.
Therefore,the distance travelled in one revolution is $\pi d$,not $2 \pi d$.
The distance travelled by a circular wheel in one revolution is equal to its circumference.
The circumference of a circle with diameter $d$ is given by the formula $\pi d$.
Since $d = 2r$ (where $r$ is the radius),the circumference is $\pi(2r) = 2 \pi r$.
Therefore,the distance travelled in one revolution is $\pi d$,not $2 \pi d$.
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