A 328 4 cm. Back to the top of the page.
A regular octagon is an eight sided polygon where all of the sides are the same length s.
Area of a octagon. So the above demonstration described several methods to calculate the area of an octagon. A regular polygon has equal length on all sides and equal internal and external angles of about 135 degrees and 45 degrees respectively. We know that the area of a regular octagon side2222 502221414 250022828 25004828 12070 cm 2.
0 of people thought this content was helpful. Now the formula for computing the area of a regular octagon can be given as. Area of a Regular Octagon The most widely used formula to calculate the area of regular octagon is given as.
Area of an Octagon 2a21sqrt2 Where a is the length of any one side of the octagon. Area of an Octagon 2a21sqrt2. Octagon is an eight sided polygon.
Perimeter of an Octagon 8a. Area of an Octagon 2times 2321sqrt22554cm2 Perimeter of the octagon 8a 8 23 184 cm. Find the area of the signboard.
These tricks work for any polygon eg hexagons and any other polygon you can think of as long as it is regular. The area of an octagon 2 x 1 2 x B² Area 2 x 1 1414213562 x 8² Area 2 x 2414213562 x 64 Area 4828427124 x 64. The length of one of the 8 sides B is 7m calculate the area of the octagon.
B 7m The area of an octagon 2 x 1 2 x B 2 Area 2 x 1 1414213562 x 7 2 Area 2 x 1 1414213562 x 49 Area 2 x 2414213562 x 49 Area 4828427124 x 49 The area of an octagon 2366m 2. The area of a regular octagon with side length s is. Area of an octagon formula The formula for the area of an octagon of regular shape is 2 1 2 side2 as seen in the figure below.
32 cm 8a. It is a two-dimensional figure connected using straight lines. Area of Octagon Calculator.
A 2a2 1 2 where a represents the given octagons each side length. The four corners like triangle SUE in the figure that you cut off the square to turn it into an octagon are 45- 45- 90 triangles you can prove that to yourself if you feel like it. Area of octagon 8 base height 2 perimeter apothem 2.
Extending the 4 non-adjacent sides of a regular octagon with side length s will create a square as shown by the dashed blue lines above. You will obtain the total area of the octagon. So all you have to do to get the area of the octagon is to calculate the area of the square and then subtract the four corner triangles.
How to find the area of an octagon with right triangle trigonometry. It also forms four 45-45-90 right triangles on the four corners of the square. In this video you will learn how to calculate the area of an octagon.
Before we go ahead and derive the area of an octagon formula let us go through some of the basic properties of a regular octagon. The calculator returns the area in square meters. The hypotenuse of the right triangles are s.
To derive this equation consider the given pentagon. The area of a regular octagon of side length a is given by In terms of the circumradius R the area is In terms of the apothem r see also inscribed figure the area is These last two coefficients bracket the value of pi the area of the unit circle. Perimeter of an octagonal stop signboard is 32 cm.
Given Perimeter of the stop sign board 32 cm. To Find area of octagon we will use a formula as described in the videoOctagonHow To F. Also check out our article on Area of Pentagon here.
Properties of a Regular Octagon. The Octagon Area equation Aoct 2 1 2 s2 computes the area of a regular Octagon given the length of sides s. The solution to the equation is straightforward and this is the formula used in our regular octagon area calculator.