What is the area of a polygon with 6 sides?
The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let’s use a hexagon (6 sides) with a side (s) length of 10.
How do you find the area of a 7 sided polygon?
Determining the Area of the Heptagon The formula for this is Area=(1/2)nsr. In this case, “n” is the number of sides, “s” is the length of the sides, and “r” is the apothem. Using the same example above, with the side as 7, the area formula would be worked as follows: Area=(1/2)(7)(7)(7.268).
What is the formula of irregular shape?
Area of the given irregular shape = Area of the rectangle ‘P’ + Area of the semicircle ‘Q’ + Area of the triangle ‘R’ + Area of the rectangle ‘S’. ⇒ Area of the given irregular shape = 48 + 39.25 + 24 + 48 = 159.25 square units. Therefore, the area of the given irregular shape is 159.25 square units.
How do you calculate the area of a regular polygon?
Know the correct formula. The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area.
What is the formula for the area of a regular polygon?
Area of a regular polygon formulas. The most popular, and usually the most useful formula is the one that uses the number of sides n and the side length a: area = n * a² * cot(π/n) / 4.
How do you calculate a polygon?
For a regular polygon, it can be calculated by multiplying the length of one side by the number of sides (n). Determine the apothem. The apothem of a regular polygon is the shortest distance from the center point to one of the sides, creating a right angle. This is a little trickier to calculate than the perimeter.
What are 6 polygons?
In geometry, a hexagon (from Greek ἕξ hex, “six” and γωνία, gonía, “corner, angle”) is a six-sided polygon or 6-gon.