Circle A has a circumference 2 2/3 m. Circle B has a diameter that is 1 1/3 times as long as Circle A's diameter. What is the circumference of Circle B?

Respuesta :

Answer:  [tex]\frac{32}{9}[/tex]

Step-by-step explanation:

C = πd

Circle A: C = 2[tex]\frac{2}{3}[/tex] = [tex]\frac{8}{3}[/tex]

[tex]\frac{8}{3}[/tex] = πd

÷π     ÷π  

[tex]\frac{8}{3\pi}[/tex] = d

Circle B: d = 1[tex]\frac{1}{3}[/tex](diameter of Circle A)

                 = [tex]\frac{4}{3}[/tex][tex](\frac{8}{3\pi})[/tex]

                 = [tex]\frac{32}{9\pi}[/tex]

C = πd

   = π[tex](\frac{32}{9\pi})[/tex]

   = [tex]\frac{32}{9}[/tex]