Is it possible to circumscribe every octagon

Pratik Deoghare Pratik Deoghare I have edited my question: all I have is the vertex count and sidelength to work with, not the coordinates, however the polygon is centered around the origin.

So I already know where the center is. I just can't figure out how i the distance to one of the vertices, without their coordinates. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name.

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Study Materials. An octagon can have two types of diameters. Both diameters result from a regular octagon, in which each side is equal in length and each angle between two intersecting sides measures degrees. One type of diameter measures the perpendicular distance between two parallel sides, with half of this diameter equaling the shape's apothem, also called its inradius.

The other type measures the distance from opposite angles and separates the octagon into two equal halves, and half of this diameter composes the shape's radius, also known as its circumradius. Both the apothem and circumradius map out circles that either inscribe or circumscribe the octagon — the apothem aids in inscribing a circle inside the octagon, while the circumradius helps plot a circle that surrounds the shape.

Each diameter type can produce one of the octagon's identical sides with the aid of trigonometric functions and the mathematical constant pi, which has an approximated value of 3.

Calculate the tangent value of 0. The tangent function is generally denoted by "tan. Multiply the diameter, which is the perpendicular length between two parallel sides, by 0. Hint: Constuct a right angle on each end of the segment of lenght a. Bisect each right angle external to the segment. Mark off lenth of two more sides of the the octagon. This uses the property that the external angles of a regular octagan are each 45 degrees.

Construct a regular octagon from a square of side length s. Construct a regular octagon given the distance from the center to a vertex of the octagon i.

Construct, not measure. Diagonals of the octagon would be separated by constructable angles of 45 degrees.