Question

5. Jill buys two circular pizzas - a small and a medium. The small pizza has

Answer 1

The area of small pizza is 2.778 times greater than the area of medium pizza, if the small pizza has  a diameter of 6 inches and the medium pizza has a diameter of 10 inches.                      

Step-by-step explanation:

The given is,

             The small pizza has  a diameter of 6 inches.

             The medium pizza has a diameter of 10 inches.

              $\pi = 3.14$

Step: 1

             Formula to calculate the area of circular pizza,

                                   $A =\pi r^{2}$............................(1)

             Where, r - Radius of pizza

Step: 2

             Area of medium pizza,

             Where, Diameter of medium pizza, D = 10 inches

             Radius , $r = \frac{d}{2} = \frac{10}{2} = 5 inches$

                          r = 5 inches

            Equation (1) becomes,

                              $A_{Medium} =\pi 5^{2}$

                                             = (3.14)(25)

                                             = 78.5

                              $A_{medium} = 78.5$ square inches

Step: 3

              Area of small pizza,

             Where, Diameter of small pizza, D = 6 inches

             Radius , $r = \frac{d}{2} = \frac{6}{2} = 3 inches$

                          r = 3 inches

            Equation (1) becomes,

                              $A_{Medium} =\pi 3^{2}$

                                             = (3.14)(9)

                                             = 28.26

                              $A_{medium} = 28.26$ square inches

Step: 4

           Ratio of medium pizza to small pizza in square inches,

                                              $= \frac{ A_{Medium } }{ A_{small} }$    

                                              $= \frac{78.5}{28.26}$

                                              = 2.778

          Area of medium pizza 2.778 times greater than the area of small pizza.

Result:

          The area of small pizza is 2.778 times greater than the area of medium pizza.