Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.

Respuesta :

Answer:

B. 19 inches and 60 inches.

Step-by-step explanation:

Required

Select matching pairs

Represent diameter with D and Circumference with C

C is calculated as:

[tex]C = \pi D[/tex]

Where

[tex]\pi = 3.142[/tex]

A. D = 5m; C = 22m

Using: [tex]C = \pi D[/tex]

[tex]C = 3.142 * 5[/tex]

[tex]C = 15.71[/tex]

15.71 does not approximates to 22m.

Hence, the pair do not match

B. D = 19 in; C = 60 in

Using: [tex]C = \pi D[/tex]

[tex]C = 3.142 * 19[/tex]

[tex]C = 59.698[/tex]

59.698 approximates to 60.

Hence, the pair match

C. D = 33 cm; D = 80 cm.

Using: [tex]C = \pi D[/tex]

[tex]C =3.142 * 33[/tex]

[tex]C =103.686[/tex]

103.686 does not approximates to 22m.

Hence, the pair do not match

From the analysis above, only option B matches the diameter with the circumference