1/3 of a circle

1/3 of a circle

Input interpretation
sector | central angle 2 pi×1/3
Visual representation
(drawn with radius 1 and rotation angle 0°)
Defining inequalities
x^2 + y^2<=r^2 and 0<=tan^(-1)(x, y)<=(2 pi)/3 (assuming radius r, center (0, 0), and rotation angle 0°)
Properties
diameter | 2 r
chord length | sqrt(3) r~~1.73205 r
area | (pi r^2)/3~~1.0472 r^2
perimeter | 2/3 (3 + pi) r~~4.0944 r
arc length | (2 pi r)/3~~2.0944 r
inscribed angle | 60° = pi/3 rad~~1.047 rad
(assuming radius r)

Leave a Reply

Your email address will not be published. Required fields are marked *