Apothem Length Math

The word apothem can also refer to the length of that line segment.

Apothem length math. S integral sqrt 1 dy dx 2 dx. So angle t 180 n. Same as the inradius. Now tan t a 2h.

Apothem given the length of a side. The distance from the center of a regular polygon to the midpoint of a side. S is the length of any side n is the number of sides tan is the tangent function calculated in degrees see trigonometry overview. Hence apothem can be calculated only for the regular polygons.

So h a 2 tan t here h is the apothem so apothem a 2 tan 180 n below is the implementation of the above approach. Apothem calculator the apothem is a line segment from center point of side of a regular polygon to the midpoint of the regular polygon. Note the irregular polygons does not contain apothem or center. If you know the length of one of the sides the apothem length is given by the formula.

The set of points on a circle that lie in the interior of a central angle. For a circle it is the distance from the center to the midpoint of a chord regular polygons properties. Apothem the perpendicular segment from the center of a regular n gon to one of its sides. 1 2 the length of the apothem line can also be worked out if we know the distance from the center of a regular polygon to a vertex.

The apothem sometimes abbreviated as apo of a regular polygon is a line segment from the center to the midpoint of one of its sides. Looking into one of the triangles we see the whole angle at the centre can be divided into 360 n. The perpendicular distance from the center to a side of a regular polygon. In the figure we see the polygon can be divided into n equal triangles.

4 2 t a n 1 8 0 5 bf frac 4 2 space times space tan frac 180 5 2 tan 5180. Equivalently it is the line drawn from the center of the polygon that is perpendicular to one of its sides. By definition all sides of a regular polygon are equal in length.