Question

A wheel with a radius of 12 inches will move 377 inches when rolled five times. How far will the same wheel move, to the nearest inch, in 16 rolls?

Answer 1

`1,206.4 ~~ 1,206` inches

Explanation:

You could find the length of the circumference and find the distance of any number of rolls from that.

`377` inches in 5 rolls means `377/5 = 75.4` inches is the circumference of the circle.

Using the formula: `C = 2xxpi xxr= 2xx pi xx12 = 75.398` inches

therefore after 16 rolls, the wheel will cover a distance of:

`16 xx75.4=1,206.4` inches `~~ 1,206` inches

You could also use the proportion method by comparing:

`377/5 = x/16`

`x = (377xx16)/5`

`x = 1,206.4 ~~ 1,206` inches