Measurments of Angles (:

Degrees can be broken down into minutes and seconds.

When you convert degrees to minutes, you take the numbers behind the decimal and multiply it by 60.

When you convert degrees to seconds, you take the numbers behind the decimal in the minutes conversion and multiply those numbers by 60.

When you convert minutes and seconds into degrees, use the formula:
degrees+minuts/60+seconds/360

When you convert degrees to radians, use the formula:
degrees(pi/180)

When you convert radians to degrees, you use the following formula:
radians(180/pi)

*Coterminal angles are like non-reduced angles.

Degrees+/-360(n)
(n can be any whole number)

radians+/-2pi(n)=coterminal angle
(n can be any whole number)

In the formula s=r(theta):
s=arc length
r=radius
theta=central angle in rads.

Example #1-

Convert 13.98 degrees to degrees, minutes, and seconds.
a. .98(60)=59.8
b. .8(60)=48

so... 13 degrees 59' 48"

Example #2-

Convert 209 degrees to rads.

315degrees(pi/180)=7pi/4