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Find Area of an Ellipse Using C++
An ellipse is the locus on all those points in a plane such that the sum of their distance from two fixed points in the plane is constant.
Where the fixed point is known as foci, which are sounded by the curve, the fixed line is a directrix, and the constant ratio is the eccentricity of the ellipse.
Area of an Ellipse
The area of an ellipse is the region enclosed by the ellipse. Which is computed by the following formula:
Area = ??a?b
Let's discuss the following key points of an ellipse:
Key-points | Description |
---|---|
Center | The center of the ellipse. It is also center of the line segments which links two foci. |
Major Axis | The longest diameter of an ellipse |
nmemb | This is the number of elements, each one with a size of size bytes. |
Minor Axis | The smallest diameter of an ellipse |
Chord | The line segment which points t |
Focus | Two points that are pointed in the diagram |
Lotus Rectum | The lotus rectum is a line passes through the focus and perpendicular to the major axis of an ellipse |
C++ Program to Find Area of an Ellipse
In this example, we write a program to find the area of an ellipse using the following formula (??a?b) in C++:
#include <iostream> #include <cmath> using namespace std; float get_area(float a, float b) { return M_PI * a * b; } int main() { float a = 5.0, b = 4.0; cout << "Area of ellipse: " << get_area(a, b) << endl; return 0; }
Output
The above code generates the area of an ellipse ?
Area of ellipse: 62.8319
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