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?

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Answer 1 · 2016-11-24T07:49:38

$1,206.4 ~~ 1,206$ inches

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