Page 19 - How To Solve Word Problems In Calculus
P. 19

The perimeter of a triangle is the sum of the lengths of its 3
                               sides. The perimeter of an equilateral triangle of side s is simply
                               3s.




                                                            b
                                         h

                                             b                     a
                                                                    1
                                             1                   A = ab
                                          A = bh
                                             2                      2



                                    S          S              b
                                                                 θ
                                          S                                a
                                                                         1
                                       A =  √3 s 2                     A = ab sin θ
                                                                          2
                                          4
                                   A circle is measured by its radius r. The perimeter of a
                               circle is known as its circumference. Occasionally the diameter
                                                                              d
                               d will be given in place of the radius. Since r =  , the area and
                                                                              2
                               circumference may also be expressed in terms of d.

                                                      C = 2πr = πd
                                                                  πd 2
                                                             2
                                                      A = πr =
                                                                   4





                                                                 r




                                                         C = 2π  = πd
                                                              r
                                                         A =πr =  πd 2
                                                             2
                                                                 4
                               6
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