Question

What are the proper units for measuring angles?

Answer 1

Three units for measuring angles - degrees, radians and grads.

Explanation:

Angle can be measured in three ways.

1 - The most popular unit is degree, minutes and seconds. In this there are `90` degrees in a right angle or `360` degrees in a complete circle and for finer calculations, each degree is divided in `60` parts each called a minute , and further each minute is divided in `60` parts with each part being called a second .

2 - We also use the unit radian. It is a bit complicated as in one complete circle there are `2pi` radians (`pi=3.14159265359.......`) and `pi/2` radians in each right angle. This is mostly use in mathematical calculations.

3 - The third type of unit for measuring angles is grad (from gradient). This was an attempt to bring decimal system for angles, as each right angle was divided into `100` grads (and `400` grads for a circle). Further, each grad is divided in `100` parts each called a minute , and further each minute is divided in `100` parts with each part being called a second .