## How many times minute hand and hour hands are at 90 in a day?

About 16.36. Since we have 12 x 60 minutes in a day, we have 12 x 60 / 16.36 gaps that satisfy 90 degrees, which is 44. Each hour has 2 occurrences of 90 degrees. In 12 hrs, it overtakes 24 times.

## How many times in a day do the hands of a clock form 60?

So in each hour minute hand makes angle 60 deg twice. Thus in 24 hours minute hand makes 60 Deg angle 2*24 times i.e., 48 times.

## How many times does a clock form a zero angle?

In each 12 hours the minute hand circles the dial 12 times and the hour hand once, so the minute hand laps the hour hand eleven times, and therefore they make an angle of 0° eleven times, than therefore they make an angle of 180° exactly eleven times. In 24 hour that happens twice over, so the total is 22 times.

## At what time the hour hand and minute of the clock will make an angle of 90 degree?

If it is 4:00, then the minute hand is pointing towards 12 while the hour hand points towards 4. Therefore, we can say that the angle between the two hands is degrees. Another way to think of this is to imagine the clock at a nearby time. At 3:00, the hands of the clock form a right angle of 90 degrees.

## At what time between 6 and 7 will the hands be at right angle?

In order to coincide the minute hand has to gain 30 minutes space. Now 55 minutes are gained by minute hand in 60 minutes. 30 minutes will be gained in = 6055×30=3611 = 32811 minutes. So the hands will coincide 32811 minutes past 6.

## How many times does the minute hand and hour hand make a straight line?

Aptitude :: Clock – Discussion Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o’clcok only). So, in a day, the hands point in the opposite directions 22 times.

## What is the time between 6 o’clock and 7 o clock?

The correct answer is 33 minutes past 6( approximately) so they meet at 6.33 approximately.

## How often are the hands of a clock at right angles?

Only at 12 o’clock the hour and minute hands of a clock coincide with each other on the hour and that too twice daily. Only at 3 o’clock and 9 o’clock the hour and minute hands of a clock at right angles to each other on the hour and that too twice daily.

## How many times the hour and minute hands of the clock form?

We start at 12 midnight. The hands are together. For subsequent 90 degree angles to occur, the minute hand must “overtake” the hour hand by 90 degrees, then 270 degrees, then 360 + 90 degrees, then 360 + 270 degrees, then 360 + 360 +90 degrees.. and so on.

## What is the angle of the minute hand?

Using degrees, we can see that the minute hand moves at 360° per hour, and the hour hand (360°/12) = 30° per hour. Below is a graph showing the angle (in degrees) for both hands for values of T from 0 to 12. Where the lines intersect (example shown with the red circle), is where the hands will coincide.

## How many right angles are formed in one hour?

In one hour, they will form two right angles and in 12 hours there are only 22 right angles. It happens due to right angles formed by the minute and hour hand at 3’o clock and 9’o clock. When the hands are in opposite directions, they are 30-minute spaces apart.

## How often are the hands on a clock at right angles?

Twice an hour approximately, the hands on a clock are at right angles. The hour hand and the minute hand are at 90 degrees. The big hand and the small hand are at right angles.

We start at 12 midnight. The hands are together. For subsequent 90 degree angles to occur, the minute hand must “overtake” the hour hand by 90 degrees, then 270 degrees, then 360 + 90 degrees, then 360 + 270 degrees, then 360 + 360 +90 degrees.. and so on.

## What is the angle of the hour hand?

The hour hand completes one full revolution each 12 hours (considering a 12 clock). So, theta_h = 360 x h/12, where theta_h is the angle that the hour hand makes with 12 hs mark and h is the number of hours since 0hs. So at 0 hs, the angle is 0, and at 12, the angle is 360 = 0.

## How to calculate the angle of the clock?

Clock Angle Calculator Enter Time on the Clock (3:45) or Angle in Degrees (85): Calculate the angle between the hands of the clock if the time is 10:00 H= 10 M= 00 Calculate the Angle between 12 and the Hour hand 10: Since there are 360 degrees in a full circle (clock), and there are 12 hours, each hour represents 360/12 = 30 degrees