Answered

A wheel has a radius of .30m. It rotates 185 times before it stops.


How far did the vehicle travel?

Verified Answer :

Here is the sollution:

During one rotation the wheel covers the distance of its circumference that can be counted with formula:
\(x=2*π*r\)
in which r is radius, then:
\(x=2*3,14*0.30m=1,884m\)

We know that it rotates 185 times so you need to multiply the wheel's circumference by 185 to get total distance (D):
\(D=185*x=185*1,884m=348,54m\)
The answer is that the vehicle traveled 348,54 m far.

AL2006

The circumference of any circle is  (2 pi) x (radius) .

185 times the circumference of a circle is  (185) x (2 pi) x (radius) .

If the wheel doesn't slip, then it rolls (185) x (2 pi) x (0.3 m) = 348.72 m (rounded)