Page 26 - Trigonometry
P. 26

The area of the two blue triangles is given by,

                                        2
                                                            2
                               1     √   −   2           √   −   2
                   2 × × ×                         =
                         2     2         2                  4

        The area of the circle sector (the sum of the blue and
        the red) is,

                                            2    
                                      ( )
                                        2     2
        However from Eq:1.
                                                   
                                    = sin  −1  ( )
                                 2                 
        The sector area becomes



                                      2             
                                 ( ) sin    −1  ( )
                                  2                
        The red area is,



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