Ask Question
4 April, 04:22

What is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock?

+2
Answers (1)
  1. 4 April, 04:58
    0
    359.905 degrees is the answer.

    Step-by-step explanation:

    when it comes to the hour hand it moves about 360 degrees in a 12 hour clock for instance let us take the time 6:15 then the calculation is

    = (6+15/60) * 360:12

    = 187.5 degrees.

    when it comes to the minute hand the minute hand travels 360 degrees for every 60 minutes in a 12 hour clock so if it is 5 mins past in the time 6:05 then it can be given as

    15/60 * 360 = 90 degrees

    Difference between the two hand can be calculated by

    (Angle turned by the hour hand) - (Angle turned by the minute hand)

    For a smaller angle let us take 12:01

    = (12+1/60) * 360:12

    =360.5

    for the minute hand

    =1/60 = 0.595

    (Angle turned by the hour hand) - (Angle turned by the minute hand)

    = 360.5 - 0.595

    = 359.905 degrees
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “What is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock? ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers