What is the Angle Between the Hour Hand and the Minute Hand of the Clock at 1:30?

Angle Between the Hour Hand and the Minute Hand of the Clock at 1:30

The hour hand covers 30 degree in same time when the minute hand covers 360 degree. Thus, When the minute hand covers 180 degree the hour hand would have covered 15 degree. Hence, the hour hand would have been exactly between 1 and 2.

Thus, the hour hand would be at 45 degree while the minute hand would be at 180 degree.

The difference = 180 - 45 = 135 degree.

Hence, at 1:30, the angle between the hour and the minute hand is 135 degree.

Alternative Method -

The logic follows here is:

The angle between the hour hand and the minute hand when the clock shows 1:30 can be calculated using the following formula:

Angle = [(11 / 2) M - 30 H]

Where, M = minutes and H = hours

Here, M = 30, H = 1

Therefore, we get angle = (11 / 2 × 30 - 30 × 1).

= 165 - 30

= 135 degree.

Summary:

What is the Angle Between the Hour Hand and the Minute Hand of the Clock at 1:30? 1. 150 degree 2. 165 degree 3. 185 degree 4. 135 degree

135 degree is the angle between the hour and minute hand of the clock at 1:30.

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