Question

A wheel on Amanda's bicycle is 0.3 m in diameter. Amanda rides the bicycle in a race, and the wheel turns 50 times during the course of the race. How long is the race?Use the value 3.14 for pie. Round your answer to the nearest tenth. Do not round any intermediate steps.

Answer 1

To be able to determine how long the race that Amanda took, let's multiply the circumference of Amanda's bicycle wheel by 50 times since it turns 50 times during the course of the race.

The formula of the circumference of a circle is,

`\text{Circumference = }\pi d`

Where,

pi = 3.14

d = diameter = 0.30 m

Let's determine the Circumference of Amanda's bicycle wheel,

`\text{ Circumference = }\pi d\text{ = (3.14)(0.30)}`
`\text{ Circumference = 0.942 m}`

Let's now determine how long the race is,

`\text{ Distance}_(Race)\text{ = (Circumference)(50) = (0.942)(50)}`
`\text{ Distance}_(Race)\text{ = 47.10 m}`

Therefore, the bicycle race that Amanda took is 47.10 m long.