Question

Help me please ( on the image )

Answer 1

Answer:

$\frac{\pi}{3}$ radians

Step-by-step 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) = $\frac{360}{12}$

                                  = 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 = $\frac{\pi }{360}\times (120^0)$

                                                              = $\frac{\pi }{3}$

Angle formed by the hands of the clock at 8:00 = $\frac{\pi}{3}$ radians