Formulas to Calculate. for example, if the area of a square is 36, math open reference: regular polygon area formula;. El par galvánico persigue a casi todos lados A regular polygon is a polygon that is both equiangular and equilateral. To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Follow. By definition, all sides of a regular polygon are equal in length. Area of Regular Polygon = n * (side length) * (apothem) / 2 So, this formula is telling us to multiply the apothem, the number of sides, and the length of a side together and then to divide by 2. In case the students are preparing for any kind of test, then they can start preparation from this Area of the Polygon … To calculate the area of a regular polygon, use the specific formula for that shape. Just enter the coordinates. Please consider making a contribution to wikiHow today. Your email address will not be published. Find the area of each smaller shape, then add the areas together to find the area of the whole shape. What are the familiar Polygons? Remember that: b = base . It is always a two-dimensional plane. Thus, the formula that computes the area of the polygon:, where with. Let's look at some formulas for finding the area of polygons. We then find the areas of each of these triangles and sum up their areas. Calculate the Area of a regular polygon if given side and number of sides Formula for area of regular polygon - Calculator Online Home List of all formulas of the site When the number of sides, n, is equal to 3 it is an equilateral triangle and when n = 4 is is a square. Then find the area of the square. Calculating the Area of Polygons. wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. The area is simple [(6 + 8) x 10]/2, which can be simplified to (14 x 10)/2, or 140/2, which makes for an area of 70. Assume we have a polygon represented with the set of points. We can not miss the formula of Heron, where we have a semiperimeter that will help us write the formula, the semiperimeter $Sp$ is simply the perimeter of the triangle divided by 2: And Heron’s formula for calculating the area of a triangle is the following: $$A = \sqrt{Sp\left(Sp – a \right) \left(Sp – b \right) \left(Sp – c\right)}$$. Area is always a positive number. Area of a trapezoid. For a triangle, multiply ½ by the length of the base and the height. The area is then given by the formula Where x n is the x coordinate of vertex n, ... See Polygon area calculator for a pre-programmed calculator that does the arithmetic for you. The area of a regular polygon is its perimeter ($P$) multiplied by the apothem ($a$) divided by two: $$A = \cfrac{P\cdot a}{2}$$ When we talk about regular polygons, we are talking about hexagons, heptagons, octagons, regular n-gons. The area of a circle is equal to $\pi$ per radius ($r$) squared: With what you learned and a little common sense you can now calculate the area of a circular sector and the area of a circular segment. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. Este es el momento en el que las unidades son impo The formula for the area of a regular octagon is 4.828 s², where s is the length of any side. =. Worksheet on Area of a Polygon is helpful to the students who are willing to solve the questions on area of the pentagon, square, hexagon, octagon, and n-sided polygons. The area of the square is equal to the square of any of its sides ($l$): The area of a rectangle is equal to the product of the base ($b$) by height ($h$): A parallelogram with sides $a$, $b$ and height $h$ have an area equal to the product of one of its sides by the corresponding height on that side. Perimeter of Polygon(P) = n x s. Area of polygon formula of a regular n-sided polygon with s as the length of the sides is given by s/2tan(180/n) Area of Polygon(A) = s/ 2 tan (180/n) Solved Examples. An apothem is also used sometimes to find the area of a regular polygon. Utilize the Polygon Area Worksheets and score better grades in the exam. The third form is when we present a triangle to which we do not know how to draw a height, to do that we will imaginary extend the length of the base (but the base will be the same) until it forms a line perpendicular to the highest point, and once we have the height we only apply the aforementioned formula. The area is width×height: 1.94 × 3.495 = 6.7803 . A = (n × s × a) 2. Let's say you have a trapezoid with bases that have a length of 6 and 8 and a height of 10. https://www.mathopenref.com/polygonregulararea.html, https://www.mathsisfun.com/definitions/apothem.html, https://www.mathopenref.com/coordpolygonarea.html, De oppervlakte van een veelhoek berekenen, consider supporting our work with a contribution to wikiHow, Perimeter = the sum of the lengths of all the sides, Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side. No me imagino có {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/7\/70\/Calculate-the-Area-of-a-Polygon-Step-1-Version-4.jpg\/v4-460px-Calculate-the-Area-of-a-Polygon-Step-1-Version-4.jpg","bigUrl":"\/images\/thumb\/7\/70\/Calculate-the-Area-of-a-Polygon-Step-1-Version-4.jpg\/aid434515-v4-728px-Calculate-the-Area-of-a-Polygon-Step-1-Version-4.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"