How to solve the following? When a car moves forward by 180 cm each wheel does one full turn. What is the diameter of a wheel to the nearest centimetre?

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2 Answers
May 15, 2018

diameter, d=57 cm-----> to the nearest cm.

Explanation:

Here we are given that circumference of a circle is 180cm.
c = 2pir

180=2pir-----> r is the radius of the wheel or circle. and we find the value of r.

r = 180/(2pi)

Now, diameter,d =2r

So we get:
d= 2xx(180/(2pi)) = 180/pi

d=180 div3.14" "larr take pi =3.14

d=57.32 cm

d=57 cm" "larr to the nearest cm.

May 15, 2018

The diameter is 57cm

Explanation:

pi is the relationship between the circumference and the diameter.

pi = C/D

This gives us a formula for both C and D

C= piD " "and" " D=C/pi

The distance moved by the car when each wheel turns once is the same as the distance as the circumference. It is 180cm

D = 180/pi

D =57.295... cm

To the nearest centimetre this is 57cm