## What is the perimeter of the apothem?

An apothem of a regular polygon is the length of the segment from the center to the midpoint of a side.

## How do you find the area of a polygon with the apothem and perimeter?

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let’s use a hexagon (6 sides) with a side (s) length of 10.

What is the formula for perimeter of a regular polygon?

To find the perimeter of a polygon, add the lengths of all the sides of the polygon. What is the formula for the perimeter of a polygon? The perimeter of a regular polygon can be found by multiplying the length of a side by the number of sides.

What is the area of a regular polygon with a perimeter of 20 and an apothem of 5?

Area=30 sq. ft.

### How do you find the perimeter of an octagon with an apothem?

Re: Apothem Once the area is found, use the formula P = 2 ⋅ area a \displaystyle P=\frac{2\cdot\text{area}}{a} P=a2⋅area to find the perimeter. a=length of apothem and n=number of sides.

### How do I find the area of a regular polygon?

Area of a regular polygon formulas

1. area = n * a * ri / 2 , having ri – incircle radius (it’s also an apothem – a line segment from the center to the midpoint of one of its sides)
2. area = perimeter * ri / 2 , given ri and polygon perimeter.
3. area = n * (ri)² * tan(π/n) , given ri.

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 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.

#### What is the formula for finding the area of a regular polygon with perimeter and apothem length A?

Area of a regular polygon formulas However, given other parameters, you can also find out the area: area = n * a * ri / 2 , having ri – incircle radius (it’s also an apothem – a line segment from the center to the midpoint of one of its sides) area = perimeter * ri / 2 , given ri and polygon perimeter.

#### How do you find the apothem and perimeter?

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.