Python Math: Calculate arc length of an angle

Last update on April 24 2025 12:44:13 (UTC/GMT +8 hours)

7. Arc Length Calculator

Write a Python program to calculate the arc length of an angle.
Note: In a planar geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane.

Sample Solution:

Python Code:

def arclength():
    pi=22/7
    diameter = float(input('Diameter of circle: '))
    angle = float(input('angle measure: '))
    if angle >= 360:
        print("Angle is not possible")
        return
    arc_length = (pi*diameter) * (angle/360)
    print("Arc Length is: ", arc_length)

arclength()

Sample Output:

Diameter of circle: 9                                                                                         
angle measure: 45                                                                                             
Arc Length is:  3.5357142857142856 

Pictorial Presentation:

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program that calculates the arc length of a circle segment given the circle's diameter and an angle in degrees.
• Write a Python function that converts an angle from degrees to radians and then computes the corresponding arc length of a circle with a given diameter.
• Write a Python script to prompt the user for a circle's diameter and an angle, then output the computed arc length using the formula for arc length.
• Write a Python program to compare the arc lengths computed for two different angles in the same circle and print the difference.

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