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

**Solution:**

It is given that

__Diameter__ of wheel = d cm

We have to find if the distance travelled by a circular wheel of diameter d cm in one revolution is 2 π d cm is true or not

Diameter of wheel when r is the __radius__ of the wheel

d = 2r

Circumference of the wheel = 2πr

Here

Distance D travelled by a circular wheel one revolution = circumference of the wheel

D = 2πr = πd

Therefore, the statement is not true, it is πd.

**✦ Try This:** A toothed wheel diameter 50 cm is attached to a smaller wheel of diameter 30 cm. How many revolutions will the smaller wheel make when the larger one makes 15 revolutions?

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 12

**NCERT Exemplar Class 10 Maths Exercise 11.2 Problem 5**

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

**Summary:**

The statement that the distance travelled by a circular wheel of diameter d cm in one revolution is 2 π d cm is not true

**☛ Related Questions:**

- In covering a distance s metres, a circular wheel of radius r metres makes s/2πr revolutions. Is thi . . . .
- The numerical value of the area of a circle is greater than the numerical value of its circumference . . . .
- If the length of an arc of a circle of radius r is equal to that of an arc of a circle of radius 2 r . . . .

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