About Clock Angle Formula
Clocks are used to keep track of the time. The clock has three hands for measuring time: an hour hand, a minute hand, and a second hand. A clock has 12 divisions with a total dimension of 360 degrees. The clock angle formula is used to determine the time difference between any two clock hands.
What Is the Clock Angle Formula?
Let us first learn a few basics about clocks before learning the clock angle formula. A clock has twelve divisions. A 30o angle exists between any two divisions. Each division is further subdivided into five equal sections, each of which is one minute long and has a 6o angular distance. Below is a list of parts and their related angles.
| Minutes | Angular Value |
| 1 minute | 6o |
| 2 minutes | 12o |
| 3 minutes | 18o |
| 4 minutes | 24o |
| 5 minutes | 30o |
| 6 minutes | 36o |
| 7 minutes | 42o |
| 8 minutes | 48o |
| 9 minutes | 54o |
| 10 minutes | 60o |
Solved example of Clock Angle Formula
Example:At 3:30 p.m., find the clockwise angle between the hour and minute hands (assume the hour hand is fixed at 3 for this hour).
Sol: To find the Angle between the hour hand and minute hand
Divisions between the hour hand and minute hand at 3:30 P.M. is 3.
Using the clock angle formula,
The angle between any two divisions is 30o
Therefore, the angle will be 3 × 30o= 90o
Answer: The angle between the hour hand and minute hand at 3:30 P.M. is 90o.
Example:At 12:55 a.m., find the clockwise angle between the minute and hour hands (assume the hour hand is fixed at 12 for this hour).
Sol: To find Angle between the hour hand and minute hand
Divisions between the hour hand and minute hand at 12:55 P.M. is 11.
Using the clock angle formula,
The angle between any two divisions is 30o.
Therefore, the angle will be 11 × 30o= 330o
Answer: The angle between the hour hand and minute hand at 12:55 P.M. is 330o. To get all the Maths formulas check out the main page.
Pdf of Clock Angle Formula
