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They aren't always. However, 2pi = 360 degrees so there's the logic. which means pi = 180 degrees and pi/2 = 90 degrees and so on.
I'm not sure actually why but i guess it's just another way to look at it. the length of an arc is simply its radius multiplied by its angular measure in radians.
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How do you do coterminal angles with radian measure?
The same way as with degrees. All you have to know is how to convert degrees from radians and radians from degrees.... this is how you do it... radians= pi/180 degrees= 180/pi to get angles from degrees to radians you multiply the angle that is measured in degrees by pi/180. to get angles from radians to degrees you multiply the angle that is measured in radians by 180/pi. pi=3.14
What is a area of a sector formed by central angles 2x?
2x*r2 square units where r is the radius and 2x is the angle (measured in radians).
Are reference angles and radians the same?
No. A radian is a measure of an angle, it is not, itself, an angle. Degrees and radians are measures of angles and the two measures are related by the following conversion: 180 degrees = pi radians
What is the sine of 50 degrees in radians?
The sine of an angle returns a dimensionless ratio, not an angle, which can be measured in either degrees or radians (or gradians, if you want to get technical). Sines and other trigonometric functions except angles as input to return this ratio. The sine of 50 degrees is .766044443119. The sine of 50 radians is -.262374853704.
What does a zero with a horizontal line through it mean?
It means a central angle measured in radians. ex. Convert 360 degrees radians. 180 degrees = pi radians so 360 degrees = pi radians/180 degrees = 360pi radians/180 = 2 pi radians
