how do you convert degrees to radians?
can someone show me on these two problems leaving pi in the answers with no decimals ?
1) -415
2) 905
2007-04-03 09:17:18 · 6 answers · asked by frickenawesomekoreanandyouknowit 2 in Science & Mathematics ➔ Mathematics
Take the degrees TIMES pi DIVIDED by 180 and reduce the fraction:
-415
= -415 (pi)/180
= -83 pi / 36
905
= 905 (pi)/180
= 181 (pi) / 36
2007-04-03 09:23:29 · answer #1 · answered by Mathematica 7 · 0⤊ 0⤋
Since there are 2 pi radians in 360 degrees the conversion factor is:
2 pi (radians)/360 degrees or pi /180 degrees. So you could divide the angle in degrees by 180 and then multiply by pi. You say leave no decimals but neither number divides evenly by 180.
2007-04-03 16:37:07 · answer #2 · answered by pschroeter 5 · 0⤊ 0⤋
A complete circle is 360 degrees; it is also 2 pi radians. Now you do the math.
2007-04-03 16:21:02 · answer #3 · answered by Anonymous · 0⤊ 0⤋
To convert degrees to radians use this formula:
Degrees * (PI/360) = Radians
-415 * (PI/360)
905 * (PI/360)
2007-04-03 16:28:56 · answer #4 · answered by Justin M 4 · 0⤊ 0⤋
multiply degrees by 2*pi /360 to get radians
2007-04-03 16:22:03 · answer #5 · answered by John L 5 · 0⤊ 0⤋
a full circle in radians is 2pi (close to 6.28)
a full circle is 360 degrees
so multiply any degree by (2pi/360) and youll get the radial.
in your case for the first one:
(-830pi/360) (which is a real number, thus a correct answer)
for your second one:
(1810pi/360) (also a real number)
you might need to simplify the fractions.
2007-04-03 16:22:28 · answer #6 · answered by mrzwink 7 · 0⤊ 0⤋