Find the ratio of the circumference of a circle with radius 1.125 to the circumference of a circle with diameter 2.25. Express your answer in the form a:b where a and b are relatively prime positive integers.

Respuesta :

Circumference of circle 1 : Circumference of circle 2 = 1 : 2

Step-by-step explanation:

Circumference of a circle = πD, where D is the diameter.

Diameter of circle 1 = 1.125

Circumference of circle 1 = π x 1.125

Diameter of circle 1 = 2.25

Circumference of circle 1 = π x 2.25

[tex]\texttt{Ratio of circumferences = }\frac{\pi \times 1.125}{\pi \times 2.25}\\\\\texttt{Ratio of circumferences = }\frac{1}{2}[/tex]

Circumference of circle 1 : Circumference of circle 2 = 1 : 2

Answer:

1:1

Step-by-step explanation: