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Start with the side length and apothem. A tool perform calculations on the concepts and applications for Area of Pentagon calculations. The area of the polygon is Area = a x p / 2, or 8.66 multiplied by 60 divided by 2. Area of Pentagon calculators give you a list of online Area of Pentagon calculators. 3. What Is the Apothem of a Pentagon? Besides the side length, you'll need the "apothem" of the pentagon. Step 1: Find the apothem. The apothem, also known as apo, of a pentagon is the line segment from the center to the midpoint of one of its sides. Find the area of the pentagon with the apothem of 4 cm Question: Find The Area Of The Pentagon With The Apothem Of 4 Cm This question hasn't been answered yet Ask an expert. A convex pentagon is one whose vertices, or points, where the sides meet, is pointing outwards as opposed to a concave pentagon whose vertices point inwards. Area = 4.275 Case 3: Find the area of a polygon with the given radius 3 and the number of sides is 5 using Apothem. Find the area of a regular pentagon with a side length of 10cm and an apothem of 6.9cm. (round to the nearest whole number) - 21573330 The area of a Pentagon with an apothem of length l is 5/2 × s × a. This page provides the apothem of pentagon formula to calculate the apothem of pentagon. The apothem is calculated by its own formula, by plugging in 6 and 10 for n and s. The result of 2tan(180/6) is 1.1547, and then 10 divided by 1.1547 is equal to 8.66. A line from the center of the pentagon to its one side and that line intersect the side of the pentagon at 90 degrees right angle is called Apothem. Find the area of a regular pentagon with an apothem of 8.95 cm and a side length of 13 cm. Imagine a collapsed roof of a house. Finding the Area from the Side Length and Apothem. See figure above), the area is given by: where a is the length of the apothem (inradius) n … This method works for regular pentagons, with five equal sides. Area of regular pentagon can be found out using three methods, first the above one 2 nd Given by the formula 5/2 x s x a; where s denotes the side of the Pentagon, and a is the length of the apothem. The apothem is the line from the center of the pentagon to a side, intersecting the side at a 90º right angle. Apothem = R * Cos (π / N) = 3 * Cos (3.14 / 5) = 3* Cos (0.63) = 3 * 0.808 Apothem = 2.43 Step 2: Find the area. The solution is an area of 259.8 units. Now, the Pentagon area is derived by multiplying side and apothem length with (5/2). To see how this equation is derived, see Derivation of regular polygon area formula. These calculators will be useful for everyone and save time with the complex … Given the apothem (inradius) If you know the apothem, or inradius, (the perpendicular distance from center to a side. 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