How to find the apothem of a hexagon

Identify the length of one side. The area of any polygon is given by.

If you divide a regular hexagon side length s into six equilateral triangles also of side length s then the apothem is the altitude and bisector of any one of them.

How to find the apothem of a hexagon. Using Trigonometry Given Side Length or Radius 1. Set up the formula for finding the apothem of a regular polygon. Plug the side length into the formula.

Plug the number of sides into the formula. A hexagon has 6 sides. Complete the calculation in parentheses.

For example a hexagon would have six sides. Next determine the length of any side. Since the length of all sides on a polygon are equal you can choose any side to measure.

Finally calculate the apothem. Input the side length and number of sides into the formula to calculate the apothem. How do I find the apothem in a hexagon.

If you divide a regular hexagon side length s into six equilateral triangles also of side length s then the apothem is the altitude and bisector of any one of them. Formulas Used to Calculate the Apothem Length The apothem formula when the side length is given is. A a S 2 tan180 n S 2 tan 180 n.

Apothem given the radius circumradius If you know the radius distance from the center to a vertex. Where r is the radius circumradius of the polygon n is the number of sides cos is the cosine function calculated in degrees see Trigonometry Overview Irregular Polygons Since irregular polygons have no center they have no apothem. The hexagon has 6 sides that measure 43cm what is the Apothem.

Step by step please also. Hence we can find the apothem for both of them using the formula mentioned above. For pentagon a Length of one side of pentagon.

For hexagon a Length of one side of hexagon. 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. The formula for the area of a polygon is always the same no matter how many sides it has as long as it is a regular polygon.

Area apothem perimeter 2. Apothem of a regular polygon is defined as the distance between the center of the regular polygon and the midpoint of a side provided the value of side length for calculation is calculated using ApothemSide2tan180pi180Number of sides. To calculate Apothem of a regular polygon you need Side s and Number of sides n.

With our tool you need to enter the respective value for Side and Number of sides and hit the calculate button. The size of angles in a hexagon is. N-2 1806 720 6 120 thus the length of the apothem will be found as follows.

Calculating from a Regular Hexagon with a Given Side Length. Write down the formula for finding the area of a hexagon if you know the side length. Since a regular hexagon is comprised of six equilateral.

Identify the length of one side. If you already know the length of a side then you can. There are several ways to find the area of a hexagon.

In a regular hexagon split the figure into triangles. Find the area of one triangle. Multiply this value by six.

Embedded content if any are copyrights of their respective owners. To find the area of an irregular polygon you must first separate the shape into regular polygons or plane shapes. A pentagonal prism 7 faces.

It has 5 rectangles on the sides and 2 pentagons on the top and bottom. The area of any polygon is given by. Remember that the height needs to be Given ordered coordinates of a.

Correct answer to the question A regular hexagon has an area of 7508cm². The side length is 17cm. Equilateral and equal angles ie.

Therefore the area of a regular polygon is given by. 4 Plug the values of a and p in the formula and get the area. Calculates side length inradius apothem circumradius area and perimeter.

Area of a cyclic quadrilateral. Product of the base and the height. The side lengths of an irregular polygon are also of different measure.

A polygon with all sides having equal length and all angles are equal is called as regular polygon. The line segment from the center to the midpoint of any of the sides is called as the apothem of regular polygon. There are two different formulas to find the apothem.

The apothem is a line segment from center point of side of a regular polygon to the midpoint of the regular polygon. The irregular polygons does not contain apothem or center. Hence apothem can be calculated only for the regular polygons.

Formula to calculate apothem of a regular polygon when we know the length of any side of a polygon.