# 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?

Nov 24, 2016

$1 , 206.4 \approx 1 , 206$ 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 $\frac{377}{5} = 75.4$ inches is the circumference of the circle.

Using the formula: $C = 2 \times \pi \times r = 2 \times \pi \times 12 = 75.398$ inches

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

$16 \times 75.4 = 1 , 206.4$ inches $\approx 1 , 206$ inches

You could also use the proportion method by comparing:

$\frac{377}{5} = \frac{x}{16}$

$x = \frac{377 \times 16}{5}$

$x = 1 , 206.4 \approx 1 , 206$ inches