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how do i convert 180 degrees to radians?

2006-11-10 02:47:51 · 2 answers · asked by Chris D 1 in Science & Mathematics ➔ Physics

2 answers

A radian is defined as the angle subtended by an arc the same length as the radius.

Consider the whole circle (360 degrees) with a radius of 1 to simplify the calculations. This is subtended by the whole circumference which is 2 * pi* radius. So 360 degrees = 2 * pi radians.

180 degrees is therefore pi radians.

2006-11-10 02:53:08 · answer #1 · answered by tringyokel 6 · 0⤊ 0⤋

degrees to radians: divide by 180, multiply by pi.
radians to degrees: divide by pi, multiply by 180.

multiplication and division, of course, can be performed before or after one another.

2006-11-10 10:53:05 · answer #2 · answered by Anonymous · 1⤊ 0⤋