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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Answer 1 · 2018-05-15T06:31:37

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

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#.

Answer 2 · 2018-05-15T08:12:53

The diameter is #57cm#

#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#