The area and circumference of a circle
- Area of a Circle:
- The area of a circle is the measure of the region enclosed by the circle. It represents the total space covered by the circle’s surface. The formula to calculate the area of a circle is:Area = π * radius^2Here, “π” (pi) is a mathematical constant approximately equal to 3.14159, and “radius” refers to the distance from the center of the circle to any point on its circumference.The squared radius is multiplied by pi to obtain the area. The value of pi is an irrational number, meaning it cannot be expressed as a fraction and has an infinite number of decimal places.
- Circumference of a Circle: The circumference of a circle is the total length of its boundary or the distance around the circle. It is also known as the perimeter of the circle. The formula to calculate the circumference of a circle is:Circumference = 2 * π * radiusThe circumference is obtained by multiplying the radius by 2 and then multiplying the result by pi (π).The circumference is proportional to the radius and can be thought of as the “size” of the circle. It is the longest distance that can be measured along the boundary of the circle.
Both the area and circumference of a circle are crucial measurements used in various mathematical and real-world applications, such as geometry, physics, engineering, and many more.
Python program that calculates the area and circumference of a circle based on the given radius:
import math
def calculate_area(radius):
return math.pi * radius**2
def calculate_circumference(radius):
return 2 * math.pi * radius
# Accepting the radius from the user
radius = float(input("Enter the radius of the circle: "))
# Calculating the area and circumference
area = calculate_area(radius)
circumference = calculate_circumference(radius)
# Displaying the results
print("Area of the circle: ", area)
print("Circumference of the circle: ", circumference)
Java program:
import java.util.Scanner;
public class Circle {
public static final double PI = 3.14159;
public static double calculateArea(double radius) {
return PI * radius * radius;
}
public static double calculateCircumference(double radius) {
return 2 * PI * radius;
}
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
System.out.print("Enter the radius of the circle: ");
double radius = scanner.nextDouble();
double area = calculateArea(radius);
double circumference = calculateCircumference(radius);
System.out.println("Area of the circle: " + area);
System.out.println("Circumference of the circle: " + circumference);
}
}
C++ program
#include <iostream>
#include <cmath>
#define PI 3.14159
float calculateArea(float radius) {
return PI * pow(radius, 2);
}
float calculateCircumference(float radius) {
return 2 * PI * radius;
}
int main() {
float radius, area, circumference;
std::cout << "Enter the radius of the circle: ";
std::cin >> radius;
area = calculateArea(radius);
circumference = calculateCircumference(radius);
std::cout << "Area of the circle: " << area << std::endl;
std::cout << "Circumference of the circle: " << circumference << std::endl;
return 0;
}
C program
#include <stdio.h>
#define PI 3.14159
float calculateArea(float radius) {
return PI * radius * radius;
}
float calculateCircumference(float radius) {
return 2 * PI * radius;
}
int main() {
float radius, area, circumference;
printf("Enter the radius of the circle: ");
scanf("%f", &radius);
area = calculateArea(radius);
circumference = calculateCircumference(radius);
printf("Area of the circle: %f\n", area);
printf("Circumference of the circle: %f\n", circumference);
return 0;
}
All three programs define functions calculateArea() and calculateCircumference() to perform the calculations. The user is prompted to enter the radius of the circle, and the area and circumference are calculated using the formulas:
Area = π * radius^2
Circumference = 2 * π * radius
The programs then display the calculated area and circumference of the circle.
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