SOLUTION: how is 2pi equal to 360 degree and difference between radian and degree

Question 446535: how is 2pi equal to 360 degree and difference between radian and degree

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how is 2pi equal to 360 degree and difference between radian and degree
-------------------
Radian is a way of measuring an angle.
---
Definition: One Radian is the measure of a central subtending
an arc of the circle that is as long as the radius of the circle.
-----
How many radians are there in a circle?
The circumference of a circle = 2(pi)r
The # of radians in a circle is (2(pi)r)/r = 2(pi).
So 360 degrees = 2(pi) radians.
--------------------------
Note: One Radian is exactly 360/(2(pi)) = 180/pi degrees.
One Radian is approximately 57.3 degrees.
==============================================
Cheers,
Stan H.
===================
RELATED QUESTIONS
Two students are discussing moving between degrees and radians. Critique and use their... (answered by Alan3354)

How would you differentiate between {{{ 1 }}} radian and {{{ 1 }}}... (answered by ikleyn,josgarithmetic)

How do you arrange one revolution, one degree, and one radian from smallest to greatest? (answered by Alan3354)

PLS HELP {{{express 1003 degree and -300 degree as an angle which lies between 0 degree... (answered by KMST)

so if my degree is 120 & my radian is 2pi over 3 then whats my revolution (answered by ikleyn)

find value of A when sinA = Sin 2A and A is between 0 and 360 degree (answered by greenestamps)

Pls help in solving {{{express -610as an angle which lies between 0 degree and 360... (answered by jim_thompson5910)

pls help in solving express -60 degree as its equivalent positive angle between 0 degree (answered by jim_thompson5910)

how do you find the difference between the degree measures of an angle and its supplement (answered by ewatrrr)