SOLUTION: Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation. a. Suppose an angle has a measure of 2.7 degrees. This angle (with a measure o

Algebra ->  Trigonometry-basics -> SOLUTION: Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation. a. Suppose an angle has a measure of 2.7 degrees. This angle (with a measure o      Log On


   



Question 1127678: Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation.
a. Suppose an angle has a measure of 2.7 degrees.
This angle (with a measure of 2.7 degrees) is what percent of a full rotation?
__________%
Use your work in part (a) to determine the measure of the angle in radians.
_________degrees
b. If an angle has a measure of z degrees, what is the measure of the angle in radians?
_________radians
Write a function g that determines the radian measure of an angle in terms of the degree measure of the angle, z.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
a. Suppose an angle has a measure of 2.7 degrees.
This angle (with a measure of 2.7+degrees) is what percent of a full rotation?
let percentage be x%=x%2F100
%28x%2F100%29%28360%29=2.7
x%28360%29=2.7%2A100
x=270%2F360
x=27%2F36
x=0.75%
_____0.75_____%


Use your work in part (a) to determine the measure of the angle in radians.
_____2.7____degrees is 0.0471+radians

b. If an angle has a measure of z degrees, what is the measure of the angle in radians?
1°=pi%2F180 radians
to convert z° (degrees) to radians, multiply pi%2F180 by z
z°=%28z%2Api%29%2F180 radians
_________radians
Write a function g that determines the radian measure of an angle in terms of the degree measure of the angle, z.
1radians=180%2Fpi °
g%28radians%29=180z%2Fpi