To calculate the area and the perimeter, begin at the top of the left column and number each point, starting at 1, proceeding to the right column . Enter the number of vertices in the form, then enter each vertex's x and y values. After entering the required data, click the Calculate button to obtain the area and the perimeter. As written, the calculator can process up to 10 vertices.

After clicking the Calculate button, the coordinate values, area and perimeter will displayed using the specified number of decimal digits. The coordinate values displayed are those used to calculate the area and perimeter, so changing the displayed decimal digits may change the x and y coordinate values and may result in the calculation of different values for the polygon's area and perimeter. For many practical problems of interest, results calculated and displayed using 3 decimal digits are adequate.

Clicking the Reset button will erase the form's content and set the number of vertices and displayed decimal digits to 3.

x- and y-coordinate determine the position of a point right from and above the origin in the cartesian coordinate system. Edge lengths and perimeter have the same unit, the area has this unit squared.

To find the distance between two points, find the change in x and y and use them as a and b in the Pythagorean theorem: √[a² + b²]. To find a shape's perimeter, add up all the distances between its corners.

The area is then given by the formula:

n | ||

A = | Σ | | x_{i} * y_{i+1} - y_{i} * x_{i+1} | / 2 |

i=1 |

Length of edge i = √ ( x_{i+1} - x_{i} )² + ( y_{i+1} - y_{i} )²

n | ||

p = | Σ | √ ( x_{i+1} - x_{i} )² + ( y_{i+1} - y_{i} )² |

i=1 |

n | ||

A = | Σ | | x_{i} * y_{i+1} - y_{i} * x_{i+1} | / 2 |

i=1 |

with x_{n+1} → x_{1} and y_{n+1} → y_{1}

Share it
## MATH CALCULATORS

- Area and Perimeter Calculator
- Calculate derivatives
- Circle Solver
- Factorial Calculator
- Factoring Numbers Calculator
- Fibonacci Sequence of Numbers
- Fractions In Simplest Form Calculator
- Greatest Common Divisor & Least Common Multiple Calculator
- Greatest Common Factor
- Integral Calculator
- Matrix Calculator
- graphing calculator and multiple function plotter
- Polygon Area and Perimeter calculator with points
- Prime Number Checker
- Properties of Triangle Calculator
- Pythagorean Theorem Calculator
- Quadratic Formula Calculator
- Quartic Equation Calculator
- Simplify Math Expressions Calculator
- Volume and Surface Area Calculator
- Barrel Volume Formula & Calculator
- Cone Volume Formula & Calculator
- Frustum of A Cone Volume and area Formula & Calculator
- Cube Area and volume Calculator
- Cylinder Area and volume Calculator
- Hollow cylinder volume Calculator
- Sectioned cylinder area and volume Calculator
- Parallelepiped Area and volume Calculator
- Hexagonal prism Area and volume Calculator
- Pyramid Area and Volume Calculator
- Frustum of a Pyramid Volume Calculator
- Sphere Area and Volume Calculator
- Spherical cap Area and Volume Calculator
- Spherical Sector Area and Volume Calculator
- Spherical Zone Area and Volume Calculator
- Torus Area and Volume Calculator