Question

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

Answer 1

Answer:

263.76 inch

Step-by-step explanation:

Diameter of the bicycle wheel = 42 inch

Hence radius of the bicycle wheel = $\[\frac{diameter}{2}\]$

$\[=\frac{42}{2}\]$

$\[= 21\]$ 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 = $\[2 \times \pi \times radius\]$

$\[= 2 \times 3.14 \times 21\]$

$\[= 131.88\]$ inch

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

This is equal to 263.76 inch.