Question

Help me please ( on the image )

Answer 1

`(\pi)/(3)` radians

Explanation:

Number of hours on a clock = 12

Since, measure of a circle at the center = 360°

Measure of central angle formed by the arc between each number (representing hours) =
`(360)/(12)`

= 30°

Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°

= 120°

Therefore, angle measure in radians =
`(\pi )/(360)* (120^0)`

=
`(\pi )/(3)`

Angle formed by the hands of the clock at 8:00 =
`(\pi)/(3)` radians