how many degrees are there in an angle formed by the hands of a clock at 2:30?

Answer 1

105 degrees!

Assume 12 is at zero degrees.
If the "big hand" is on the 6, it is at 180 degrees.
If the "little hand" is on the 2, it is at 60 degrees.
The difference between the two is 120.

120 isn't technically a "correct" answer actually, because the "little" hand is approximately half-way between 2 and 3! So the "little" hand is actually half-way between 60 (2) and 90 (3) degrees or 75 degrees!

180 - 75 = 105.

You can also think of it digitally. There are 12 hours needed to make a complete rotation of 360 degrees. At 2:30 or 2.5, you're 2.5/12 of the way around. 360*2.5/12 = 75.

Answer 2

There are 12 numbers on a clock and 360 degrees in a circle. The numbers are evenly distributed around the clock so the angle between each number is 360/12 = 30 degrees. Lets assume that at 2:30 the hours hand is point exactly at 2 and the minutes hand is point exactly at 6. Then the angle between the hands would be equal to 30(6-2) = 120 degrees. In reality the hour hand would be pointing half way between the 2 and the 3. So then the angle between the two hands would be 30(6-3) + 30/2 = 105 degrees.

Answer 3

At 2:30, the minute hand is straight down on the 6, but the hour hand is roughly half way between the 2 and the 3 -- or 75 degrees past the vertical. The angle between the two hands may be describes as either 105 degrees (180 - 75) or 225 degrees.

This assumes an analog, gear-driven clock, where the hour hand is exactly on the 2 at 2:00pm and moves to the 3 proportionally with time. Some clocks jump ahead in increments, and some do not have the hour hand aligned correctly.

Of course, a digital clock has no hands on the dia, but there might be a picture of Mickey Mouse on its face, with hands at some constant angle!

Answer 4

Since the clock has 12 equally spaced angles formed be the numbers, we can divide 360 deg by 12. 360 deg makes a revolution. Thus each number say from 12 to 1 will make an angle of 30deg.Now we can multiply 12 by 3.5(distance from 6 to 2.5). Hence the angle formed is 105deg.

Answer 5

this is seventy 5 levels. If the little hand have been on the 9 and the great hand on the 6, then which would be ninety levels. even inspite of the undeniable fact that, while this is 8:30 the little hand is halfway between 9 and eight. halfway is 15 levels (15 * 2 = a million hour, a million hour circumstances 12 = 360 levels). Subtract out the 15 and you get seventy 5.

Answer 6

360 degrees all the way around from 12 to 12.

Take 360 and divide by the divisions of the clock.

360 /12

each "hour" is equal to 30 degrees.

take 6-2 (you're going from 2 to 6)

so you have 4 "hours"

Take 4 x 30

Your answer is 120 degrees. (for the angle from 2 to 6 on the clock)

Wait..are you looking for the angle from the 2 to the 6 or from the 6 to the 2? You need to specify.

Answer 7

There are twelve equal divisions in a clock, each one is 30 degrees. The hour hand is at 2 and the minute hand is at 6.

So the hour hand is 60 degrees from noon and the minute hand is 180. So the angle between them is 120.

Answer 8

take 12 o'clock on the clockface as 0deg.and the start point.
the angle between 12(0deg.) and 1 o'clock is 360/12=30deg.
So at 2:30 the hour hand will have moved halfway between 2 and 3 which amounts to two and a half times 30deg.=75 deg.from 12.
At this time the minute hand will be on 6 which means it is 6X30=180deg fom twelve.
So the angle between hours and minutes hands is
(180-75) =105deg.
Incidentally at this time the seconds hand will be at
12=0 degrees.

Answer 9

A circle is 360 degrees. A clock face is divided into 60 minutes. 360/60 = 6, so each minute = 6 degrees. Count the number of minute markers between the hands, multiply by 6.

Answer 10

Hour hand will lie between 2 and 3 on dial
Minute hand is vertical
Angle = 90° + 15°
Angle = 105°