Python Math: Convert degree to radian

Last update on April 02 2025 12:28:48 (UTC/GMT +8 hours)

1. Degrees to Radians Conversion

Write a Python program to convert degrees to radians.
Note : The radian is the standard unit of angular measure, used in many areas of mathematics. An angle's measurement in radians is numerically equal to the length of a corresponding arc of a unit circle; one radian is just under 57.3 degrees (when the arc length is equal to the radius).

Test Data:
Degree : 15
Expected Result in radians: 0.2619047619047619

Sample Solution-1:

Python Code:

pi=22/7
degree = float(input("Input degrees: "))
radian = degree*(pi/180)
print(radian)

Sample Output:

Input degrees: 90                                                                                             
1.5714285714285714

Pictorial Presentation:

Flowchart:

Sample Solution-2:

Use math.pi and the degrees to radians formula to convert the angle from degrees to radians.

Python Code:

from math import pi
def degrees_to_rads(deg):
  return (deg * pi) / 180.0
print(degrees_to_rads(180))
print(degrees_to_rads(90))

Sample Output:

3.141592653589793
1.5707963267948966

Flowchart:

Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:

For more Practice: Solve these Related Problems:

• Write a Python function that accepts an angle in degrees, converts it to radians using math.radians(), and returns the result rounded to 10 decimal places.
• Write a Python program that reads a list of degree values from the user, converts each to radians, and prints both the original and converted values in a formatted table.
• Write a Python script that compares the output of your own degrees-to-radians conversion function with math.radians() for a series of test angles.
• Write a Python function that converts degrees to radians without using math.radians() (i.e. by multiplying by π/180) and prints the conversion for 15°.

Python Code Editor:

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