what is the eqation to convert degree system to radian system?

Answer 1

(degree/180)*pi=radians

Answer 2

Radian comes from the word "radius" which is half the length of the diameter and both are straight lines. If you bend the radius into a curve to match the perimeter of the circle it will cover 57.295 degrees (180/3.141592654) of the circle perimeter.
Therefore; 1 degree = 1/57.295 radians or 0.01745353 radians
1 radian = 57.295 degrees
Also see Wikipedia for Radian.

Answer 3

There are 2 pi radians in a circle.
There are 360 degrees in a circle.
Therefore 2 pi radians = 360 degrees
Therefore 1 radian = 360/2 pi= 180/pi degrees
Similarly, 1 degree = 2 pi/360 = pi/180 degrees

So to convert degrees to radians, simply multiply the number of degrees by pi/180.

for example 90 degrees = 90 (pi/180) =pi/2 radians

Answer 4

The equation is:
2(pi) radian = 360 degrees
(pi) radian = 180degrees
hence 1 rad = 180/pi degrees
To convert degrees into radian multiply by (pi/180)
To convert radian into degrees multiply by 180/(pi)
Let me illustrate the process by two examples:
1) Convert (pi)/2 radians into degrees
(pi)/2*180/(pi) = 90 degrees

2) Convert 60 degrees into radian
60*(pi)/180 = (pi)/3 rad

I hope this is clesr to you now.

Answer 5

1 Degree=2*pi/360

1 Degree=0.01745329 Radian.

360 degrees=2*pi*Radian

1 radian=360/2*pi

1 Radian=57.29577951 degrees.

One radian is the angle subtended at the center of a circle by an arc of circumference that is equal in length to the radius of the circle.

In terms of a circle it can be seen as the ratio of the length of the arc subtended by two radii to the radius of the circle.

Answer 6

radian = degree * (pi/180)
pi = 3.1428

Answer 7

let alpha be degree and phi be radian
we have this formula

phi = alpha / 180 * pi

Answer 8

Use unitary method

let the dergrees to be converted be x deg.

180 deg........................ pi radians
1 deg............................ pi/180 radians
x deg............................. (pi * x)/180 radians