2006-11-17 10:38:45 · 6 answers · asked by MSI 1 in Science & Mathematics ➔ Mathematics
180 degrees = pi radians
305 degrees
= (305/180) * pi
= (61/36) pi
2006-11-17 10:46:10 · answer #1 · answered by canzoni 3 · 0⤊ 0⤋
Since 180 degrees = pi radians, set up a proportion:
180/pi = 305/r
Cross multiply: 180r = 305 pi
Divide by 180: r = 305 pi/180
Reduce: r = 61 pi / 36
2006-11-17 18:47:04 · answer #2 · answered by hayharbr 7 · 1⤊ 0⤋
I could be wrong on this, but I'm pretty sure that radian measure assumes a circle with radius 1. If that's the case, the circumference of the circle would be 2(pi). To change an angle measurement to radian, you would divide the angle you have by 360, then multiply the total by 2(pi).
Hence,
305/360 = .847
.847 X 2(pi) = 1.694 pi
2006-11-17 18:45:33 · answer #3 · answered by bgdddymtty 3 · 0⤊ 1⤋
All you have to do is multiply by pi/180 and then reduce. 61pi/36
2006-11-17 18:54:10 · answer #4 · answered by derek_rogers89 1 · 1⤊ 0⤋
turn degrees into radians using pi/180
305(pi/180)
61pi/36
ANSWER
(61pi)/36 radians
2006-11-17 18:58:38 · answer #5 · answered by trackstarr59 3 · 1⤊ 0⤋
(61/36)pi
or reduce to 1.6944444444444...pi
2006-11-17 19:06:17 · answer #6 · answered by 8v8t8r 2 · 1⤊ 0⤋