Before moving to the actual solution, let’s try to find out what is a degree, a radian, and their relations.
Radian : The radian is the standard unit of angular measure, used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends. One radian is just under 57.3 degrees.
Degree : A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle, defined so that a full rotation is 360 degrees.
The relation 2pi*rad = 360° can be derived using the formula for arc length.
An arc of a circle with the same length as the radius of that circle subtends an angle of 1 radian. The circumference subtends an angle of 2pi radians.
Therefore the formula is:
degree = radian * (180/pi) where, pi = 22/7
Input : radian = 20 Output : degree = 1145.4545454545455 Explanation: degree = 20 * (180/pi) Input : radian = 5 Output : degree = 286.3636363636364 Explanation : degree = 20 * (180/pi)
Note: In this programs, we have taken the value of pi as 3.14159 to get standard result in all three languages.
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Improved By : nitin mittal