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

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

Apothem is the line segment that is drawn from the center of the hexagon and is perpendicular to the side of the hexagon. We can find the area of a regular hexagon with apothem using the formula, Area of hexagon = (1/2) × a × P; where ‘a’ is the apothem and ‘P’ is the perimeter of the hexagon.

How do you find the area of a hexagon with a diagonal?

For finding the area of hexagon, we are given only the length of its diagonal i.e d. The interior angles of Hexagon are of 120 degrees each and the sum of all angles of a Hexagon is 720 degrees. The formula to find the area of hexagon with side length a, Area = (3a2 √3) / 2.

### What is the formula for hexagons?

In a hexagon, the sum of all 6 interior angles is always 720º. The sum of interior angles of a polygon is calculated using the formula, (n-2) × 180°, where ‘n’ is the number of sides of the polygon. Since a hexagon has 6 sides, taking ‘n’ as 6 we get. (6-2) × 180° gives 720°.

How do you calculate the area of a hexagon?

To work out the area of the whole Hexagon, we would just need to work out the area of one of the equilateral triangles, and then multiply this value by 6 . Now provided we know the length of a side of the hexagon a .

## How many sides does a regular hexagon have?

A regular Hexagon is a shape with 6 sides, all of which are the same length. by drawing straight lines from the center of the Hexagon to the corners. Each of these triangles are of the same size.

Is the perimeter of a hexagon the same as the sides?

In a regular hexagon, however, all the hexagon sides and angles have to have the same value. For the sides, any value is accepted as long as they are all the same. This means that, for a regular hexagon, calculating the perimeter is so easy that you don’t even need to use the perimeter of a polygon calculator if you know a bit of maths.

### Which is the apothem of a regular hexagon?

Each triangle has a side length s and height (also the apothem of the regular hexagon) of . The area, A, of one of the equilateral triangles, drawn in blue, can be found using: Since there are six equilateral triangles, the area of a regular hexagon is: