Perimeter Of An Octagon Calculator

Octagon computer - diagonals, expanse, perimeter, sides

Octagon figurer will aid you summate the long diagonal of the octagon, the medium diagonal of the octagon, the shorter diagonal of the octagon, the side length, meridian, area of the octagon, circumference and radius of the circumscribed circle and the radius of the circumvolve inscribed in the regular octagon.

Octagon - information

Octagon - a polygon with eight sides and 8 interior angles. The sum of the angle measures in any octagon is 1080 °.

A regular octagon is a regular polygon with eight equal sides and 135° internal angles.

Information technology has the following properties ( a , is the length of the side of the octagon):

Its every within angle has a measure $$ 135^{\circ } $$
Radius of the circumscribed circle: $$ R=a\cdot {\sqrt{\frac {2+{\sqrt {2}}}{ii}}} $$
Radius of the inscribed circumvolve: $$ r={\frac {a\cdot (1+{\sqrt {2}})}{two}} $$
Surface area of a regular octagon: $$ S=two\cdot a^{2}\cdot \cot(\frac {\pi }{8}) = 2\cdot(i+{\sqrt {2}})\cdot a^{2} $$
Perimeter of a regular octagon has length: $$ L=8\cdot a $$
Longer diagonal of a regular octagon has length: $$ P_{d}=a \cdot \sqrt{iv+2\cdot \sqrt{2}} $$
Medium diagonal of a regular octagon has length: $$ P_{s}=a \cdot (one + \sqrt{two}) $$
Shorter diagonal of a regular octagon has length: $$ P_{k}=a \cdot \sqrt{(two + \sqrt{ii})} $$
Acme of a regular octagon: $$ h=a \cdot (1 + \sqrt{2}) = P_{1000} = two \cdot r $$
The number of diagonals of a regular octagon is 20, of which: four are long diagonals (P_d), eight are medium diagonals (P_s) and 8 are short diagonals (P_k)

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