Question

A circular gift has a 4.75 inch radius. alyssa wants to wrap a ribbon that costs $0.50 per inch around the gift. How much money will she spend?

Answer 1

The Alyssa will spend $14.915 for wrap a ribbon around the gift, if a ribbon costs $0.50 per inch.

Step-by-step explanation:

The given is,

                      A circular gift has a 4.75 inch radius

                      Ribbon that costs $0.50 per inch

Step:1

           Formula to calculate the perimeter of circle,

                               $Perimeter, P = 2\pi r$......................(1)

           Where, r - Radius of circle

           From the given,

                                                  r = 4.75 inches

          Equation (1) becomes,

                                                $P = 2 (\pi )(4.75)$

                                                    $= 2(3.14)(4.75)$            (∵ $\pi$= 3.14)

                                                    $=2(14.915)$

                                                    $=29.83$

                              Perimeter, P = 29.83 inches

Step:2

            Cost for wrap the ribbon to around the circular gift,

                                          = Perimeter of circular gift × ribbon cost per inch

                                          = (29.83 × 0.50)

                                          = $14.915

          Cost for wrap the ribbon to around the circular gift = $14.915      

Result:

           The Alyssa will spend $14.915 for wrap a ribbon around the gift, if a ribbon costs $0.50 per inch.