Question

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

• A. True
• B. False

Answer 1

The correct option is B False

Compute the distance traveled by a circular wheel.

Given: Diameter of the wheel is $\mathrm{d}\mathrm{cm}$ .

We know that distance traveled by a circular wheel in one revolution is equal to the circumference of the circle.

Circumference of a circle$=2\mathrm{\pi }\left(\mathrm{radius}\right)$

Therefore, distance traveled by a circular wheel in one revolution $=\mathrm{\pi d}\mathrm{cm}\ne 2\mathrm{d}\mathrm{cm}[\because \mathrm{d}=2\times \mathrm{radius}]$.

Hence, the given statement is false.