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Text File  |  1993-03-30  |  5KB  |  57 lines
  1.          RIGHT TRIANGLES                                                     $
  2. area       = ½ab        = ½ sinφ                          B                  $
  3. perimeter  = a+b+c                                                           $
  4. hypotenuse = c = √(a²+b²)                   c                                $
  5.                                                           a                  $
  6.                                                                              $
  7.                                                                              $
  8.                               A      φ     b                                 $
  9.                                                           C                $~6         RECTANGLES                                                          $
  10. area      = ab                                                               $
  11. perimeter = 2a + 2b                                     b                    $
  12.                                                                              $
  13.                                                                              $
  14.                                              a                               $
  15.                                                                              $
  16.                                                                              $
  17.                                                                            $~2         SQUARES                                                             $
  18. area      = a2      diagonal = a√2                                           $
  19. perimeter = 4a                                     a                         $
  20.                                                                              $
  21.                                                                              $
  22.                                              a                               $
  23.                                                                              $
  24.                                                                              $
  25.                                                                            $~1         PARALLELOGRAMS                                                      $
  26. area      = bh      = ab sinφ                                                $
  27. perimeter = 2a + 2b                                  b                       $
  28.                                                                              $
  29.                                                                              $
  30.                                               a                              $
  31.                                                   h                          $
  32.                                                                              $
  33.                                               φ                            $~3         CIRCLES                                                             $
  34. area      = πr²                                                              $
  35.           = dia² x .785398163                                                $
  36. perimeter = 2πr                                                              $
  37.                                                      r                       $
  38.                                                                              $
  39.                                                                              $
  40.                                                                              $
  41.                                                                            $~4         TRIANGLES                                                           $
  42. area      = ½bh       = ½ sinφ      = √s(s-a)(s-b)(s-c)                      $
  43. where s   = ½(a+b+c)  = semiperimeter                                        $
  44. perimeter = a+b+c                                                            $
  45.                                                                              $
  46.                                                  a     h      c              $
  47.                                                                              $
  48.                                                 φ                            $
  49.                                                          b                 $~5        POLYGON'S INSCRIBED IN A CIRCLE                                      $
  50.     Polygon of n sides inscribed in a circle of diameter d                   $
  51.    # of sides   1 cord length = d x SIN(180/n)                               $
  52.      3n                  d x .8660              ┌──────┐                     $
  53.      4n                  d x .7071              │      │                     $
  54.      5n                  d x .5878              │      │                     $
  55.      6n                  d x .5000              │      │                     $
  56.      7n                  d x .3854              └──────┘                     $
  57.      8n                  d x .3827                                         $~4