+1090 A clock is circular and therefore has 360 degrees. At 2:30, the clock's long hand is pointing down at six, and its short hand is halfway between two and three. To calculate the angle, we need to find out how many degrees are between The short hand and the long hand.
The easiest way to do this is to find out how many degrees are between the little hand and three, and add that to 90° (This is because the long hand is 90° away from three, because six to three is 1/4 of the clock and 1/4 of 360°.)
Since the short hand is is halfway between two and three, and two and three are 1/3 of 90° (Again, another quarter on the clock: twelve to three.), then we multiply 90° * 1/2 * 1/3 = 15°. Adding that to 90°, we get 105° angle, which is an obtuse angle.
+1090 A clock is circular and therefore has 360 degrees. At 2:30, the clock's long hand is pointing down at six, and its short hand is halfway between two and three. To calculate the angle, we need to find out how many degrees are between The short hand and the long hand.
The easiest way to do this is to find out how many degrees are between the little hand and three, and add that to 90° (This is because the long hand is 90° away from three, because six to three is 1/4 of the clock and 1/4 of 360°.)
Since the short hand is is halfway between two and three, and two and three are 1/3 of 90° (Again, another quarter on the clock: twelve to three.), then we multiply 90° * 1/2 * 1/3 = 15°. Adding that to 90°, we get 105° angle, which is an obtuse angle.
