Divide the result from Step 3 by the perimeter, found in Step 2, to calculate the apothem. Concluding this example, you would divide 254.62 by 42 to find the length of the apothem equals about 6.06 inches. References Math Open Reference: Regular Polygon Area Formula Math Prof: Hexagon Area...
Area of regular polygon = where p is the perimeter and a is the apothem.How to use the formula to find the area of any regular polygon?Show Video Lesson Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your ...
Area of a Regular Polygon Area of a Regular Pentagon Formula Lesson Summary FAQs Activities How do you find the area of a 5-sided polygon? If the apothem isn't known, it should be solved first using the apothem formula. Then the regular polygon formula can be applied. Multiply the...
Define Polygons. Polygons synonyms, Polygons pronunciation, Polygons translation, English dictionary definition of Polygons. polygon regular and irregular polygons n. A closed plane figure bounded by three or more line segments. po·lyg′o·nal adj. po·
Formula 6: In terms of the perimeter of a regular polygon, the area of a regular polygon is given as, Area = (Perimeter × apothem)/2, in which perimeter = number of sides × length of one sideProperties of PolygonThe important properties of the polygon are...
One can also calculate the area of any n-sided polygon using the formula: Area = {eq}n * s * a / 2 {/eq} Where n is the number of sides, s is the length of a side, and a is called apothem. The apothem is the length of a perpendicular line that connects the center of th...
Area of Polygon = n × Apothem2× tan(π/n)When we don't know the Apothem, we can use the same formula but re-worked for Radius or for Side:Area of Polygon = ½ × n × Radius2× sin(2 × π/n)Area of Polygon = ¼ × n × Side2 / tan(π/n)...
Formula The following mathematical formula is used in this regular plygon area calculator to find the area from the given input value of apothem, number of sides & length of side. Rectangle Polygon Area A = (1/2) Apothem x No. of Sides x Length of side The area of regular polygon ...
area = n × a² × cot(π/n) / 4 , substituting: n = 5; and a = 3. What is the formula for the area of a polygon given the apotheme? If you know the apothem of a regular polygon, you can compute the area with the formula: area = ap² × n × tan(π/n), where...
Diagonals of a Polygon | Formula & Examples Ch 28. Saxon Algebra 1/2: Circles Ch 29. Saxon Algebra 1/2: Triangles Ch 30. Saxon Algebra 1/2: Geometric... Ch 31. Saxon Algebra 1/2: Perimeter and... Ch 32. Saxon Algebra 1/2: Area Ch 33. Saxon Algebra 1/2: Surface Area and...