What is the angle between the two hands of a clock when the time shown by the clock is 6.30 pm

Answer

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We can see that in the above picture the hour hand is on 6, whereas the minute hand is on 12.As we know that in the clock there are 12 hour stands.A circle has an angle ${360^ \circ }$, at the center.As the hour stands divide the clock into 12 slices or 12 pies or 12 sectors.The angle taken by each sector is given by:$ \Rightarrow \dfrac{{{{360}^ \circ }}}{{12}} = {30^ \circ }$Thus each sector takes ${30^ \circ }$.The angle taken by each sector is = ${30^ \circ }$Now when the time is 6 o’clock, there are six sectors between the minute hand and the hour hand.The number of sectors between the minute hand and the hour hand is = 6$\therefore $The angle associated with the five sectors is given by the product of five sectors and the angle for each sector, as given below:$ \Rightarrow 6 \times {30^ \circ }$$ \Rightarrow {180^ \circ }$$\therefore $The angle between the minute hand and the hour hand at 6 o’clock is ${180^ \circ }$, which is a straight angle.The angle between the hands of the clock, at 6 o’clock is ${180^ \circ }$, is a straight angle.

Option A is the correct answer.

Note: Please note that while finding the angle between the minute hand and the hour hand at 6 o’clock, there is a chance of confusion, whether to consider the angle in the clockwise direction angle between the minute and the hour hand, or the anti-clock wise direction angle. The anti-clock wise direction angle between the minute hand and the hour hand is also a straight angle i.e, ${180^ \circ }$. Hence either of the ways give the same final answer.

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This answer is categorized in the subject Math and for level Secondary School. 12 students answered this yesterday from cities such as Jamshedpur, Kodaikānal and Ichalkaranji.

Question

What is the angle between two hands of a clock when the time shown by the clock is 6.30 pm

Answer

Answer:At 6:30 the minute hand makes 180 degrees angle the mark of 12 and the hour hand goes 180+30 degrees from the same point in the same time. So the angle between them is 15 degrees.

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Angle between hour and minute hand at 6:30

Here we will show you how to calculate the angle in degrees made by the hour hand and minute hand on a 12-hour clock at 6:30. Below is an image of what the clock looks like at six-thirty (6:30) so that you can see where the hour hand and the minute hand are located.

Before we continue, note that a clock is shaped like a circle and is composed of 360 degrees. There are 60 minutes in an hour, and 360 degrees divided by 60 minutes is 6. Therefore, the minute hand moves 6 degrees per minute. It takes 720 minutes for the hour hand to move around the clock. 360 degrees divided by 720 minutes is 0.5. Therefore, the hour hand moves 0.5 degrees per minute. As you can see, the hour hand and minute hand showing 6:30 on the clock make an angle. We used the hands to make the pie chart below so it is easier to visualize what we are calculating.

The hour hand and minute hand on a clock showing 6:30 actually make two angles: The hour hand to the minute hand is outlined in blue, and the minute hand to the hour hand is outlined in red.
Angle from hour hand to minute hand at 6:30 At 6:30, the hour hand has moved 390 out of 720 possible times from the top of the clock. 390 times 0.5 degrees is 195 degrees. At 6:30, the minute hand has moved 30 out of 60 possible times from the top of the clock. 30 times 6 degrees is 180 degrees.

360 - (195 - 180) = 345 degrees

Angle from minute hand to hour hand at 6:30

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 - 345 = 15 degrees.

Now you know how to calculate the degrees of the two angles created by the hour hand and minute hand on a 12-hour clock at 6:30. Again, the two angles created by the hour hand and minute hand at six-thirty are 345 degrees and 15 degrees.
Clock Angle Calculator The angle made by the hour hand and minute hand on a clock at 6:30 is not all we have calculated. We have calculated the clock angles for every minute of the 12-hour clock. Get the degrees for another time here!

Angle between hour and minute hand at 6:31

Here is the next time on our clock that we have calculated the angles for. Check it out! Copyright | Privacy Policy | Disclaimer | Contact