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# Chapter Eleven

### Area of Parallelograms and Triangles

Term | Definition |
---|---|

base of a parallelogram | any side of a parallelogram |

height of a parallelogram | perpendicular distance between any two parallel bases |

base of a triangle | any side |

height of a triangle | the length of an altitude drawn to a given base |

height of a trapezoid | perpendicular distance between its bases |

sector of a circle | region of a circle bounded by a central angle and its intercepted arc. The formula for the area of a sector is similar to the formula for arc length. |

segment of a circle | region bounded by an arc and a chord. |

center of a regular polygon | center of its circumscribed circle |

radius of a regular polygon | radius of its circumscribed circle |

apothem | a segment drawn from the center of a regular polygon perpendicular to a side of the polygon. Its length is the height of an isosceles triangle that has two radii as legs. |

central angle of a regular polygon | has its vertex at the center of the polygon and its sides pass through consecutive vertices of the polygon. |

composite figure | figure that can be separated into regions that are basic figures, such as triangles, rectangles, trapezoids, and circles. To find the area of a composite figure, find the area of each basic figure and then use the Area Addition Postulate. |

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amgeometry