So, the measure of the central angle of a regular hexagon is 60 degrees. To find the measure of the central angle of a regular hexagon, make a circle in the middle. The measure of the central angles of a regular hexagon: So, the measure of the interior angle of a regular hexagon is 120 degrees. To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above). So, the sum of the interior angles of a hexagon is 720 degrees.Īll sides are the same length (congruent) and all interior angles are the same size (congruent).

Because the sum of the angles of each triangle is 180 degrees. This is a best known construction for contact number in dimension n 6. To find the sum of the interior angles of a hexagon, divide it up into triangles. The union Z X Y has parameters (n,, ) (6, 1, 72). We hope it’s effective! Always feel free to revisit this page if you ever have any questions about the area of a hexagon.Properties of hexagons, interior angles of hexagons Polygons: Properties of Hexagons Therefore, the perimeter of the hexagon is 48cm and its area is 96 √3cm 2. Compute the area by substituting the given side length into the formula: Find the perimeter by multiplying the side length by 6. Finding the Area of a Hexagon Practice Problem #2 – SOLUTION: Find the perimeter and area of a regular hexagon whose side length is 8cm. Therefore, the perimeter of the hexagon is 54cm and its area is 162cm 2.

Plug the apothem ( a) and perimeter ( P) into the formula, then simplify.

First, compute the perimeter using the side length.Ī hexagon’s perimeter is the product of 6 and its side length: A hexagon layout calculator can be a helpful tool for basic measurement questions about the hexagon. Finding the Area of a Hexagon Practice Problem #1 – SOLUTION: The measure of the central angle of a regular hexagon is 60 degrees. Find the area of a regular hexagon with an apothem of 6cm and side length of 9cm. Build the perimeter with a double rim joist. With your plan, you can locate and install your footings on the corners of the hexagon. The interior angles of each corner should be 120 degrees. Therefore, the area of the hexagon is 162 √3cm 2. Building a hexagon deck is more difficult than building an octagon deck because all the angles are 15, 30 and 60 degrees. Multiply the area of A ∆DXC by 6 to find the hexagon’s area. Find the area of ∆DXC using its base and given apothem (height). Multiply the base of ∆DXG by 2 to get the base length of ∆DXC. Since the apothem is also the height of the special right triangle ∆ DXG, find the length of its base (shortest leg) through dividing the apothem by 3 and multiplying their quotient by √3.

Perfect hexagon measurements