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The Daily Insight

How do you find the angle between clock hands in C++?

Author

Olivia Shea

Updated on February 26, 2026

Angle Between Hands of a Clock in C++

  1. if h = 12, then set h := 0.
  2. if m = 60, then set m := 0.
  3. hAngle := 0.5 * (60h) + m.
  4. mAngle := 6m.
  5. ret := |hAngle – mAngle|
  6. return minimum of ret and (360 – ret)

How do you find the angle between hour hand and minute hand?

First note that a clock is a circle made of 360 degrees, and that each number represents an angle and the separation between them is 360/12 = 30. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.

How do you find the angle between hour and minute hand in Java?

  1. def findAngle(hh, mm): # handle 24-hour notation.
  2. hh = hh % 12. # find the position of the hour’s hand.
  3. h = (hh * 360) // 12 + (mm * 360) // (12 * 60) # find the position of the minute’s hand.
  4. m = (mm * 360) // (60) # calculate the angle difference.
  5. angle = abs(h – m)
  6. if angle > 180:
  7. return angle.
  8. if __name__ == ‘__main__’:

What is the angle between the hour and minute hand at 3 40?

At 3:40 the hour hand is between 3 and 4 and so it makes an angle of 3*30+40*30/60 = 90+20 = 110 deg from 12. So the angle between the hour and the minutes hands at 3:40 = 240–110 = 130 deg and the reflex angle = 360–130 = 230 deg.

What is the angle between the hour hand and the minute hand at 6 o’clock *?

180∘
The angle between the hands of the clock, at 6 o’clock is 180∘, is a straight angle.

What is the angle between the minute hand and the hour hand of a clock when the time is 4 20?

10 degrees
The angle between hour and minute hand in 4:20 is 10 degrees. For a minute, the hour hand rotates by 30/60 = 1/2 degrees. hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees.

What is the angle between minute hand and hour hand at 5 30?

15°
At 5:30 the hour hand rests half way between the 5 and 6 and the minute hand exactly at 6. As the hands are one half-hour interval apart they are 15° apart.

What is the angle between minute hand and hour hand of a clock at 6 40?

Thus each sector takes 30∘. Now when the time is 6 o’clock, there are six sectors between the minute hand and the hour hand. ∴The angle between the minute hand and the hour hand at 6 o’clock is 180∘, which is a straight angle. The angle between the hands of the clock, at 6 o’clock is 180∘, is a straight angle.

What is the angle between minute hand and hour hand at 2 20?

If the minute-hand is at 2 and hour-hand is at 4, angle between them is (2 x 30°) = 60°. But at 20 past two, i.e., at 2 : 20, the hour-hand has moved 20 minutes towards 12. ∴ the angle between the two hands of the clock at twenty past two = 60° – 10° = 50°.

What is the angle between hour hand and minute hand of a clock at 3 30?

90o.
Answer: The angle between the hour hand and minute hand at 3:30 P.M. is 90o.

What type of angle is 180 degrees?

straight angles
Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles. Angles that are 90 degrees (θ = 90°) are right angles. Angles that are 180 degrees (θ = 180°) are known as straight angles.

What is the angle between hour and minute hand?

We have to find a smaller angle (in sexagesimal units) formed between the hour and the minute hand. So if the input is like hour = 12 and min := 30, then the result will be 165°. To solve this, we will follow these steps −

How to get the angle with respect to 12 hours?

How to get the angle with respect to 12:00? As we know, the minute hand will move by 360 degrees in 60 minutes or we can say 6 degrees in one minute. And the hour hand will move by 360 degrees in 12 hours or we can say 0.5 degrees in one minute. According to this, the minute hand will move by (h*60 + m)*6 and hour hand will move by (h*60 + m)*0.5.

What is the Clock angle problem?

This problem is know as Clock angle problem where we need to find angle between hands of an analog clock at a given time. The idea is to take 12:00 (h = 12, m = 0) as a reference. Following are detailed steps.