Contents
How to find the area of a regular polygon?
A regular polygon is a polygon where all the sides are the same length and all the angles are equal. How to find the area of a regular polygon? The apothem of a regular polygon is a line segment from the center of the polygon to the midpoint of one of its sides.
How to find the sum of all the interior angles of a polygon?
Where ‘n’ is equal to the number of sides of a polygon. For example, a quadrilateral has four sides, therefore, the sum of all the interior angle is given by: Sum of interior angles of 4-sided polygon = (4 – 2) × 180° = 2 × 180°
Do you enter the coordinates for a polygon?
Just enter the coordinates. This method will produce the wrong answer for self-intersecting polygons, where one side crosses over another, as shown on the right. It will work correctly however for triangles, regular and irregular polygons, convex or concave polygons .
Which is an example of a polygon with three sides?
The point where two line segments meet is called vertex or corners, henceforth an angle is formed. An example of a polygon is a triangle with three sides. A circle is also a plane figure but it is not considered as a polygon, because it is a curved shape and does not have sides or angles.
Which is an example of a regular polygon?
The polygon could be regular (all angles are equal and all sides are equal) or irregular Let’s use this polygon as an example: The first step is to turn each vertex (corner) into a coordinate, like on a graph: Now, for each line segment, work out the area down to the x-axis.
When to add and when to subtract from a polygon?
But the trick is to add when they go forwards (positive width), and subtract when they go backwards (negative width). If you always go clockwise around the polygon, and always subtract the first “x” coordinate from the second, it works out naturally, like this: You can also go the other direction.
Do you have to sort points before calling polygon _ area?
That means, before calling the polygon_area (points) , we need to sort the points clockwise or anti-clockwise. To sort the vertices, we need a reference point that lies completely inside the polygon.