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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

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