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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
Examples:
Input : radian = 20 Output : degree = 1145.4545454545455 Explanation: degree = 20 * (180/pi) Input : radian = 5 Output : degree = 286.3636363636364 Explanation : degree = 5 * (180/pi)
Note: In this programs, we have taken the value of pi as 3.14159 to get standard result in all three languages.
286.479
Time Complexity: O(1), as we are not using any loops.
Auxiliary Space: O(1), as we are not using any extra space.
Example :
The following program demonstrates toDegree() and toRadians().
120.0 degree is 2.0943951023931953 radians. 1.312 radians is 75.17206272116401 degrees.
Time Complexity: O(1), as it is using constant operations
Auxiliary Space: O(1), as it is using constant variables
Reference:
https://en.wikipedia.org/wiki/Radian
https://en.wikipedia.org/wiki/Degree_(angle)