Measuring Angles
Before I write about trigonometry, I would like to explain the measurement of angles. More people would think of a circle as having than
. The measurements are in degrees and radians respectively. Most people should already have a good understanding of degrees. Fortunately, understanding radian measurement is also easy.
A circle is made up of 360 degrees. A after a number means the the number is in degrees . While decimals are most often used, minutes and seconds can be used to represent an angle. A minute is
of a degree and a second is
of a minute (
of a degree). Minutes and seconds are denoted by ‘ and ” respectively. For example,
27′ 36″.
More advanced math almost always uses radians. It is likely that you will eventually prefer to use radian measurement.

Travel along the circumference of a circle the distance of its radius. The angle formed is equal to one radian. It is equal to about . Radians are often measured in terms of
. In this form, one radian is
. Conversely, it can be written as
or
.
To convert degrees to radians, multiply the number by . To convert radians to degrees, multiply the number by
. That is it for now. Sine and cosine will probably be the topic of the next post.