How To Find The Area Of A Polygon With Only One Side

17 Aug, 2021

Since we are given n sided. S is the length of any side.

How To Find The Area Of Regular Polygons 7 Steps With Pictures

You also learned the formula for finding the area of any regular polygon if you know the length of one side and the apothem.

How to find the area of a polygon with only one side. You can find the perimeter of any polygon by adding up its side lengths. This tutorial shows you how to use the scale factor to help find the area of one of the figures. A regular polygon is a polygon whose all sides and all angles are equal.

However given other parameters you can also find out the area. The shortest side of a polygon of area 196 sq. When youre working with similar figures knowing the scale factor can help you find all sorts of pieces including side measurements and area.

Area n a² cot πn 4. Area of Polygons The area of a polygon is another way to express its size. The area is the quantitative representation of the extent of any two-dimensional figure.

To find the area of this figure we need to find the area of individual triangles in the figure and multiply it by the number of sides it has. Triangle3 square4 5 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit. A n s a 2 A n s a 2 where n n is the number of sides s s is the length of one side and a a is the apothem.

By definition all sides of a regular polygon are equal in length. Tan is the tangent function calculated in degrees. A 12 apothem number of sides side length s A 12 apothem perimeter of polygon.

N is the number of sides. Find the area of a similar triangle in which the corresponding side is 9 inches. You may recall that area is simply the amount of space inside a polygon.

33 length of a side 2 2. The formula to check the regular polygon area by using the length of side is as follows. The most popular and usually the most useful formula is the one that uses the number of sides n and the side length a.

Given the length of a side. How do you find the regular polygon area with only the side length. To find the area of regular polygons use the formula.

Looking into one of the triangles we see that the whole angle at the center can be divided into 360N So angle t 180n Now tant a2h So h a2tant Area of each triangle base height2 a a4tant So area of the polygon. Calculates the side and perimeter of a regular polygon given the area. For determining the area of a polygon given on a coordinate plane we will use the following formula.

X n y 1 y n x 12 To learn the steps follow the link given below. A polygon is a closed curve or figure formed by the line segments such that no two line segments intersect except at their endpoints and no two line segments with a common endpoint are coincidentIn other words a simple closed curve made up of only line segments is called a polygon. One side of a triangle is 15 inches and the area of the triangle is 90 sq.

If you know the length of one of the sides the area is given by the formulawhere. A 12 apothem side length s number of sides. Find the area of a similar polygon whose shortest side is 8 in.

Area of a regular polygon formulas. Area A x 1 y 2 y 1 x 2 x 2 y 3 y 2 x 3. Finding the Area of a Polygon Given on a Coordinate Plane.

In order to determine the area of a regular polygon if the number of its sides are known is given by. Area ap2 where a is the apothem and p is the perimeterTo find the apothem divide the length of one side by 2 times the tangent of 180 degrees divided by the number of sides. Area and Perimeter of Polygons with Coordinate Geometry One way to describe the size of any polygon is to find its perimeter that is the distance around it.

Area of regular polygon number of sides length of one side apothem2 where the length of apothem is given as the l 2tan180 n l 2 tan.

Area Of Polygons Explanation Examples