Question

Describe the angle formed by the hands of a clock at 3:00 in the term of degrees and radians ...?

Answer 1

90 degree and
`(pi)/(180)` radians.

Explanation:

Given : Angle formed by the hands of a clock at 3:00

To find : Write in term of degrees and radians ...

Solution : We have given that a clock show the time 3 :00

We know that at 3 : 00 clock show hour hand at 3 and minute hand at 12.

Angle formed by the minute hand at 12 and hour hand at 3 is 90 degree.

90 degree =
`(pi)/(180)` radian.

Therefore, 90 degree and
`(pi)/(180)`radians.

Answer 2

The minutes hand is at 12 and the hours hand is at 3, meaning the are perpendicular.
This is equivalent to an angle of 90° or π/2 radians.