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?

1 Answer
Nov 24, 2016

Answer:

#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