# 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) |