To calculate the area of a circle, we use the formula ( \text{Area} = \pi \times r^2 ), where ( r ) is the radius of the circle. Here's a Python function that implements this:

Solution Code

import math

def calculate_circle_area(radius):
    """Calculates the area of a circle given its radius."""
    return math.pi * (radius ** 2)

Explanation

1. Import Math Module: We use math.pi to get the precise value of ( \pi ) (approximately 3.14159...).
2. Function Definition: The function calculate_circle_area takes one parameter radius (a non-negative number).
3. Area Calculation: The area is computed using the formula ( \pi r^2 ) and returned.

Example Usage

# Test with radius = 5
area = calculate_circle_area(5)
print(f"Area of circle with radius 5: {area:.2f}")  # Output: Area of circle with radius 5: 78.54

This function works for both integer and float values of the radius and returns the area as a float. For invalid inputs (like negative radius), it will return a negative area—you can add error handling if needed (e.g., check if radius >=0 and raise an exception). However, the basic version above assumes valid input as per typical use cases.

Answer: The function is as defined above. For example, calculate_circle_area(5) returns approximately 78.54. The final code is:

import math

def calculate_circle_area(radius):
    return math.pi * radius ** 2

作者声明:本文包含人工智能生成内容。