Different Ways of Measuring Angles The custom of measuring angles using degrees, with $360^{\circ}$ in a circle, dates back to the ancient Babylonians, who used a number system based on groups of $60 .$ Another system of measuring angles divides the circle into 400 units, called grads. In this system a right angle is circle into 400 units, called grads. In this system a right angle is 100 grad, so this fits in with our base 10 number system. Write a short essay comparing the advantages and disadvantages of these two systems and the radian system of measuring angles. Which system do you prefer? Why?