Question

The diameter of a bike wheel is 27 inches.If the wheel makes 15 complete rotation,how far does the bike travel.

Answer 1

Answer:

The bike will travel approximately 1,272 inches or 106 feet.  

Step-by-step explanation:

The diameter of a circle (wheel) can be used to find the circumference, which is the total perimeter around the wheel.  The formula used to find circumference is:  C = dπ, where 'd' is the diameter and π = 3.14.  In this case C = 27 x 3.14 ≈ 84.78 inches.  Since this measurement represents the perimeter of wheel, we would need to multiply this number by 15 in order to find the total distance after 15 complete rotations of the wheel:  84.78 x 15 ≈ 1,272 inches.  1,272 inches is a large measurement, so we can easily convert this to feet by dividing by the number of inches per foot, or 12:  1272/12 = 106 feet.

Answer 2

Answer:

The bike traveled 1271.7 inches

Step-by-step explanation:

Diameter of bike wheel = 27 inches

Radius of wheel = $\frac{Diameter}{2}$

                          = $\frac{27}{2}$

Radius of wheel = $13.5 inches$

Circumference of wheel = $2 \pi r$

                                         = $2 \times 3.14 \times 13.5$

                                         = $84.78$

So, Distance traveled in 1 rotation = 84.78 inches

Distance traveled in 15 rotations = $84.78 \times 15$

                                                     = $1271.7$

Hence the bike traveled 1271.7 inches