Formula For Area Of Polygon Math

If you know the length of one of the sides the area is given by the formula.

Formula for area of polygon math. Area base height kite or rhombus. Area base height rectangle. And there are 2 such triangles per side or 2n for the whole polygon. The side length s is 7 0 cm and n is the 7 because heptagon has 7 sides the area can be determined by using the formula below.

A polygon is an area enclosed by multiple straight lines with a minimum of three straight lines called a triangle to a limitless maximum of straight lines. Polygon stuff area formulas. Area base height kite or. Limitations this method will produce the wrong answer for self intersecting polygons where one side crosses over another as shown on the right.

Area of regular polygon where p is the perimeter and a is the apothem. Area 1 2 of the base x the height a h perimeter add lengths of all sides a b1 b2 c circle radius the distance from the center to a point on the circle r. By mark ryan. The apothem of a regular polygon is a line segment from the center of the polygon to the midpoint of one of its sides.

Assume 3 14 area r2. Given the length of a side. Area of polygon n apothem 2 tan π n when we don t know the apothem we can use the same formula but re worked for radius or for side. Just enter the coordinates.

Area base height rectangle. Circumference the distance around the circle c d 2 r. By definition all sides of a regular polygon are equal in length. Calculating the perimeter and area of a polygon is an often discussed topic in geometry and is the essence and soul of geometry with the exception of circles or curved lines.

Most require a certain knowledge of trigonometry not covered in this volume but see trigonometry overview. The area of any regular polygon is equal to half of the product of the perimeter and the apothem. Have a look at the most common formulas for working with polygons. Sum of the interior angles in an n sided polygon.

How to use the formula to find the area of any regular polygon. A regular polygon is equilateral it has equal sides and equiangular it has equal angles to find the area of a regular polygon you use an apothem a segment that joins the polygon s center to the midpoint of any side and that is perpendicular to that side segment hm in the following figure is an apothem. Area of polygon n radius 2 sin 2 π n area of polygon n side 2 tan π n a table of values. Polygons those many sided objects so popular in geometry circles are subject to their own formulas that help you find the area and angles of various geometrical shapes.

Area 343 4tan π n area 343 4tan 3 14 7 area 178 18 cm 2.