What is the total radian measure of the angle the minute hand travels in 4 full rotations?

Question

asked Jan 11, 2018 6.9k views

2 Answers

James Parker · Answer 1 · 2018-01-16T20:24:00+0000

Answer:

The angle the minute hand travels in 4 full rotations is
$8\ pi\ radians$

Explanation:

We know that one complete rotation is given by :

$1\ rotation=1\ hour$

and
$1\ hour=60\ minutes=2\ \pi$

So,
$1\ rotation=2\ \pi$

Using unitary method we can find the minute hand travel in 4 rotations.

$\because 1\ rotation=2\ \pi\ radians$

So,
$4\ rotation=8\ \pi\ radians$

Hence, this is the required solution.