How do you find the perimeter with the apothem?
The apothem of a regular pentagon is . What is the perimeter of this pentagon? In order to solve for the perimeter, we need to solve for the length of one of the sides. This can be accomplished by creating a right triangle from the apothem and the top angle that’s marked.
How do you find the perimeter of the apothem of a pentagon?
We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.
What is the apothem of a regular polygon?
An apothem is a perpendicular segment from the center of a regular polygon to one of the sides. When radii are drawn from the center to the vertices of the polygon, congruent isosceles triangles are formed with the polygon apothem as the height. These triangles are used in calculating the area of regular polygons.
What is the perimeter of a regular Octadecagon with 4 inch sides?
32 inches
Example 1: What is the perimeter of a regular octagon with 4 inch sides? Solution: If each side is 4 inches and there are 8 sides, that means the perimeter is 8(4 in) = 32 inches.
What is the perimeter of this regular pentagon?
If all the sides of a pentagon are of equal length, it is known as a regular pentagon. In this case, the perimeter of the pentagon can be calculated with the help of the formula, Perimeter = 5 × side length. For example, if one side of a regular pentagon is 8 units, its perimeter will be, P = 5 × 8 = 40 units.
How do you find the perimeter of an octagon with an apothem?
where the apothem is the distance for the center of the polygon to the mid-point of a side. The perimeter can be calculated a few ways: by summing up the length of each side, multiplying the length of one side by the number of sides, or, if you’re feeling lazy, you can also use our perimeter of a polygon calculator.
How do you find the area of a regular polygon with only the perimeter?
How to Find the Area of Polygons with Perimeter? If the perimeter of a polygon is given, then its area can be calculated using the formula: Area = (Perimeter × apothem)/2.
What is the perimeter of a regular polygon?
For a regular polygon, the perimeter is equal to the product of one side length and the number of sides of the polygon. For example, the perimeter of a regular pentagon whose side length 8 cm, is given by; Perimeter of a regular pentagon = 8 x 5 = 40 cm.
What is the formula for perimeter of a regular polygon?
We know that the perimeter of a regular polygon is calculated by the formula, Perimeter = (number of sides) × (length of one side). Thus, if the length of the side is increased, the value of the perimeter also increases.