6.8k views
0 votes
What is the total radian measure of the angle the minute hand travels in 4 full rotations?

2 Answers

4 votes
the answer is 8π radians
User Aizaz
by
7.9k points
0 votes

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.

User James Parker
by
8.2k points