2006-09-29 05:18:23 · 2 answers · asked by abo zaid 1 in Education & Reference ➔ Teaching
One radian, by definition, is an arc equal in length to the radius. The circumference of a circle is C = 2 * r * pi. There are also 360 degrees in a circle. To figure out how many degrees are in one radian, just divide 360 by (2 * pi).
It's actually much closer to 57.3 degrees. I don't think it has much relevance today, since a better conversion to go from radians to degrees is to multiply by 180 and divide by pi. (This is just 360 / (2pi), except both the numerator and denominator have been divided by 2. It had much more relevance in the days when slide rules were common. Most slide rules had a special marking at 5.73 to make converting from radians to degrees or vice versa quicker.
2006-09-29 05:25:17 · answer #1 · answered by Bob G 6 · 0⤊ 0⤋
180 degrees = Pi radians.
57.2 degrees = 1 radian.
(Basically, 1 radian is exactly 180/pi degrees.)
2006-09-29 12:21:22 · answer #2 · answered by PJ 3 · 0⤊ 0⤋