Clock Angle formula with solved Example

Clock angle formula

The clock angle formula is a mathematical procedure or formula that implies revealing the angle between the needles or the hands of an analog watch or clock. The clock angle issue implicates two numerous proportions of angle and time. The angle is generally assessed in degrees clockwise from the dent of the digit 12. Times are generally founded on a 12-hour watch or clock.

Clocks are utilized to demonstrate and understand a particular time in a day. A clock is always prepared with three needles or hands for assessing the time, through the hour hand, minute hand, and second hand. A clock generally has an altogether 12 divisions  and a cumulative measurement gradient of 360 degrees. 

This illustration exhibits the angles constructed by the needles or hands of an analog timepiece exhibiting a time of 2:20.

The main use of the clock angle formula is to evaluate the moment or the time between any two needles or hands of a clock. Here in this article, the formula of clock angle is vividly explained with a simple illustration.

The Formula of Clock angle

Before understanding the formula of clock angle, one should understand a tiny bit about the clock. A clock has altogether 12 departments. The angle which is present between any two divisions of a clock is 30 degrees. Each and every grid is halved into 5 proportional portions, each is equal to 1 point, and the angular extent is 6 degrees. A schedule of portions and their complementary angles are provided below:

Solved Examples

Instance 1: Discover the clockwise angle which is present between the hour needle or hand and minute needle or hand at 3:30 P.M (presume the hour needle is stabilized at the digit 3 for this hour).

Explanation

To discover: The angle which is present between the hour needle and minute needle

Divisions present between the hour needle and minute needle at 3:30 pm is 3.

Utilizing the formula of clock angle,

The angle present between any two regiments or divisions is 30 degrees.

Accordingly, the angle must be 3 × 30 degrees = 90 degrees.

angle turned by hour hand in 30 min rotation of minute hand is 15 min

angle between hour hand and minute hand is 90-15=75 degree