# What is the angle between two hands of a clock when the correct time is 4 30?

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## What is the angle between the two hands of a clock when the time is 4 hours 40 minutes?

At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5. That is, the hands are three and one-third number positions apart. Each number position is thirty degrees around the clock, so the hands form an angle of displaystyle 3tfrac{1}{3} cdot 30 = 100^{circ}.

## What is the reflex angle between the hands of a clock at 4 25?

Now, the given time is 4.25 AM. In 4 hour the hour hand will move 30×4=120 degrees. In 25 minutes the hour hand will move 0.5×25=12.5 degrees. So the hour hand will move 120+12.5=132.5 degrees in total.

## What is the angle between the hands at 4 12?

At 4:12, the minute hand has moved 12 out of 60 possible times from the top of the clock. 12 times 6 degrees is 72 degrees. The angle from the minute hand to the hour hand is simply 360 degrees minus the degrees from the hour hand to minute hand that we calculated above. 360 – 306 = 54 degrees.

## How much angle hour hand rotates in 2 hours 20 minutes?

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 reflex of 100 degree?

As 100 degree is just between 90 and 180 degree so, it is an obtuse angle.