Learn about Degree Measures and Fraction of a Turn Degree measure and fraction of turn In this problem, we need to write the degree measure and fraction of a turn for each angle. We need to identify the angle measure shown by each circle. Then we are asked to find the fraction turn for each angle that is by what fraction we should turn the circle in order to cover each of the angle measures. Let’s look at the figures. The first circle shows an angle measure of 90 degrees. We know its 90 degrees because it shows a square and we know a square is a right angle. This first circle shows an angle measure of 90 degrees. An angle that is 90 degrees is a quarter turn. We know it is a quarter or one fourth turn. Let’s look at this second circle. An angle that is 180 degrees is half turn on the circle. This is shown by the second circle. So, the angle is 180 degrees and is shown with a half of a turn of the circle. So, 180 degree angle is called a straight angle. Remember, the 90 degree is a right angle. Let’s take a look at this third. Similarly, an angle that is 270 degrees is 3/4 of a turn. So, an angle that is 270 degrees is 3/4 of a turn on the circle. Let’s take a look at our last circle. This circle has an angle that is 360 degrees; it goes in a full circle. This is called a full turn. Things to remember, an angle that is 90 degrees is a quarter turn on a circle, it also a right angle. An angle that is 180 degrees is a half turn on a circle, a 180 degree angle is a straight angle. An angle that is 270 degrees is three-fourths of a turn on a circle. An angle that is 360 degrees is a full turn on a circle.