How do you find the area of a hexagon with an apothem?

Calculating from a Regular Hexagon with a Given Apothem. Write down the formula for finding the area of a hexagon with a given apothem. The formula is simply Area = 1/2 x perimeter x apothem.

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

Use the Formula to Find the Area of a Hexagon with a Given Apothem: The perimeter of the hexagon formula is simply: Area = 1/2 x perimeter x apothem.

How do you find the area of a hexagon with an apothem of 6?

The area of a regular hexagon is 6 areas of equilateral triangles with a side equal to a side of a hexagon. Each such triangle has base a=4√3 and altitude (apothem of a hexagon) h=a⋅√32=6 .

How can we find area of hexagon?

The formula for the area of a hexagon is Area = (3√3 s2)/2; where ‘s’ is the length of one side of the regular hexagon. The formula for the area of a hexagon can also be given in terms of the apothem as, Area of hexagon = (1/2) × a × P; where ‘a’ is the length of the apothem and ‘P’ is the perimeter of the hexagon.

Is the apothem equal to the side?

Is the Apothem Equal to the Side Length? No, an apothem’s length is not always equal to its side length. However, if we know the side length of a polygon, the apothem can be calculated.

How do you find area of a hexagon?

The formula for the area of a hexagon is Area = (3√3 s2)/2; where ‘s’ is the length of one side of the regular hexagon.

How do you find the area of the side of a hexagon?

The simplest, and by far most common, way of finding the length of a regular hexagon’s sides is using the following formula: ​s​ = ​P​ ÷ 6, where ​P​ is the perimeter of the hexagon, and ​s​ is the length of any one of its sides.

What is the Apothem of a hexagon?

When a hexagon is regular it has six equal side lengths and an apothem. An apothem is a line segment from the center of a polygon to the middle point of any one side. You usually need to know the length of the apothem when calculating the area of a hexagon.

How do you calculate the apothem?

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.