Charles D. Lv 6. For those who want to know how to do this by hand, we will explain how to find the area of a regular hexagon with and without the hexagon area formula. To find the apothem of a regular polygon, either you want to know the side length or the circumradius. It will be the same for any vertex. Length of the side can also be calculated from the perimeter. Find the apothem length by taking the square root of the result from Step 5. In a polygon, a line to the midpoint of one of the sides from the center is called as apothem. Completing the example, the square root of 9 equals 3, so the length of the apothem equals 3. For Example: In a regular hexagon with a side length of 20 cm, find the length of the apothem. Find the apothem of a regular polygon or circumradius of the incircle using this free online apothem of a regular polygon calculator. Polygon Calculator. Use this calculator to calculate properties of a regular polygon. n = Number of Sides of a Polygon. Did you mean polygon, not polyhedron? I don't need the answer to this problem, just help on how to figure it out. How do I find the apothem of a regular polygon? 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). The way we find the area of any regular polygon is by placing it inside of a circle. Through definitions, formulas, and examples, we will learn what an apothem is and how it can be used to analyze a regular polygon.
An apothem is defined only for polygons. Relevance. 0. A polygon is 2 dimensional, while a polyhedron is 3 dimensional. Answer Save. If you need to find the area of a regular polygon all you need is the apothem! You usually need to know the length of the apothem when calculating the area of a hexagon. In the case of a square, this step may seem superfluous, but it is necessary, especially for many-sided polygons. You can calculate the apothem if you know the area. Pentagon is a polygon with 5 equal sides and with the angle of 108 degrees each. This tutorial shows you how to find the area of a regular pentagon when you only know the apothem. where, r = Radius of Polygon. The apothem refers to the length of the line the connects the center of a regular polygon to the midpoint of any of the sides. The apothem holds the key.. Favorite Answer. By definition, the apothem of a polygon goes from the center of this figure to the midpoint of the segment and it forms an angle of 90 degrees with it. Keywords: problem; area; regular; polygon; regular polygon; area from length of apothem; apothem; Background Tutorials. Answers (1) Marialena Today, 12:10. The radius is also the radius of the polygon's circumcircle, which is the circle that passes through every vertex. cos = Cos function calculated in degrees. The radius is also the radius of the polygon's circumcircle, which is the circle that passes through every vertex.In this role, it is sometimes called the circumradius. Look at the reference below to see what an apothem is. 1 decade ago. This page provides the apothem of pentagon formula to calculate the apothem of pentagon. Alternatively, if we know the circumradius (radius) of the polygon we can use this below formula to find the apothem. Polygon Image/Diagram Polygon Example : Case 1: Find the area and perimeter of a polygon with the length 2 and the number of sides is 4. The apothem area of pentagon is calculated using the length of its side and the number of sides. The easiest way is to use our hexagon calculator, which includes a built-in area conversion tool. Let’s find out! Wait, what’s an apothem? Calculates side length, inradius (apothem), circumradius, area and perimeter. Properties of apothems. We will now have a look at how to find the area of a hexagon using different tricks. The radius of a regular polygon is the distance from the center to any vertex. Try this Adjust the polygon below by dragging any orange dot, or alter the number of sides. But both formulas can be used only if number of sides is known.