Question

A bicycle wheel of diameter 42 inches is rolled through an angle of

720°. About how far has the wheel moved?​

Answer 1

263.76 inch

Explanation:

Diameter of the bicycle wheel = 42 inch

Hence radius of the bicycle wheel =
`\[(diameter)/(2)\]`

`\[=(42)/(2)\]`

`\[= 21\]` inch

The wheel rolls through an angle of 720 degrees.

In 720 degrees the wheel covers 2 revolutions.

Distance covered by the wheel in 1 revolution =
`\[2 * \pi * radius\]`

`\[= 2 * 3.14 * 21\]`

`\[= 131.88\]` inch

So in 2 revolutions, the distance covered by the wheel will be
`\[= 2 * 131.88\]`

This is equal to 263.76 inch.