An apothem is the line that connects the center of a regular polygon to the midpoint of one of the polygon's sides. Area of Pentagon is given by 5/2 x s x a; where s is the side of the Pentagon, and a is the apothem length. Calculate from an regular 3-gon up to a regular 1000-gon. Area A of a regular pentagon can be calculated from the formula: area = a² * √ (25 + 10√5) / 4, where a is a side of a regular pentagon. The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides. You can also select the units (if … The equation you solved using the apothem … The formulas for apothem as follows: $$ r = \frac{Side lenght} {2 tan ( … Calculates side length, inradius (apothem), circumradius, area and perimeter. The formula for area of a pentagon is , with representing the length of one side and representing the apothem. With our tool, you need to enter the respective value for area of pentagon and side of pentagon and hit the calculate button. Analogically, it is the line drawn from the center of the polygon that is perpendicular to one of its sides. The apothem is perpendicular to the side. Find the central angle.2. Area of a Pentagon. Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle. We can find the length of the apothem … Polygon Calculator. Pentagon is a geometrical shape with 5 sides and is also referred to as five-sided polygon. Calculate the final perimeter of the pentagon. Table Of Contents. Also, you can find the area having the inscribed circle radius: area = 5 * r² * √ [ (5 + √5)/2] / 4, where r is an incircle radius. To find the apothem, we can convert our one pentagon into five triangles and solve for the height of the triangle: Each of these triangles have angle measures of , with being the angle oriented around the vertex. Apothem is the line from the center point of the pentagon to the middle of one of its sides. All regular polygons have an apothem. \[\text{Area of pentagon} = \frac{5}{2} \times 3 \times 2 = 15\,c{m^2}\] Note: In this method, we multiply the apothem with the perimeter of the polygon and then halve it to find the area. Find the area of a regular pentagon that has a side length of 3 cm and an apothem of 2 cm. The apothem of a pentagon is a line segment from the center of the pentagon to a side of the pentagon. Use this calculator to calculate properties of a regular polygon. This apothem of pentagon calculator requires side length measurement to calculate the area of apothem. Solved Examples. Once you have figured out one side length using the apothem equation, you can find the perimeter of the pentagon by multiplying your answer by the number of sides in a pentagon. Click here for the version with sound: http://youtu.be/UMba_aOEoIoI walk you through the three steps to finding apothems.1. Enter any 1 variable plus the number of sides or the polygon name. 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