Question

A analog clock (with hour and minute hands) is set to 5:00 P.M. After 30 min, what will the measure of the major arc formed by hour and minute hands.

Answer 1

180 degrees

Explanation:

Given

`Time = 5:00pm`

Required

The measure of the major arc, 30 minutes after

First, we calculate the time after 30 minutes

`Time = 5:00pm +30\ mins`

`Time = 5:30pm`

At 5:30pm, the hour and the minute hand will be directly opposite each other.

In other words, the hands divide the time into two equal parts (180 degrees each)

At this point, there is no major or minor arc as both sides have the same measurement

Hence, the measure of the arcs is 180 degrees