# circle

Computes the area of the circular segment within a circle tangent to a reference line.

Controller: **CodeCogs**

**Contents**

## Interface

C++

## Circle

doublecircle( | double | r | |

double | h | )[inline] |

### Solution

- Consider an orthogonal coordinate system and a circle so that there exists with on the x-axis. Also let be parallel to the x-axis so that the distance from it to the x-axis is and .
Let be the area which we must determine. Based on the relation between and we get the following cases:
1)
We notice that

2) Because , we find the solution: 3)Purchase a Licence for more information.

4) Because , the solution is: Output:r = 2.5 h = 0.0 Area = 0.000 h = 0.5 Area = 1.022 h = 1.0 Area = 2.796 h = 1.5 Area = 4.954 h = 2.0 Area = 7.334 h = 2.5 Area = 9.817 h = 3.0 Area = 12.301 h = 3.5 Area = 14.681 h = 4.0 Area = 16.839 h = 4.5 Area = 18.613 h = 5.0 Area = 19.635 h = 5.5 Area = 19.635

### Example 1

#include <codecogs/maths/geometry/area/circle.h> #include <stdio.h> int main() { // the length of the radius double r = 2.5; // display the lenghts of the radius printf("r = %.1lf\n\n", r); // display the area for different values of h for (double h = 0; h < 5.6; h += 0.5) printf("h = %.1lf Area = %.3lf\n", h, Geometry::Area::circle(r, h)); return 0; }

### Parameters

r the radius of the circle h the distance between line and the reference line

### Returns

- The value of the desired area.

##### Source Code

Source code is available when you buy a Commercial licence.

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