Question

the minute hand of a circular clock sweeps out an arc as it moves from 2:35 p.m. to 2:55 p.m. what is the measure of the arc? enter the correct answer in the box. show hints

Explanation:

Step1: Find time - interval

The time interval from 2:35 P.M. to 2:55 P.M. is 20 minutes.

Step2: Know the angle per minute of minute - hand

The minute - hand of a clock makes a full rotation (360°) in 60 minutes. So the angle it sweeps per minute is $\frac{360^{\circ}}{60}=6^{\circ}$ per minute.

Step3: Calculate the measure of the arc

Multiply the number of minutes (20) by the angle per minute (6°). The measure of the arc is $20\times6^{\circ}=120^{\circ}$.

Answer:

$120$