Question

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.

Answer 1

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:

$C = \pi D$

Where

$\pi = 3.142$

A. D = 5m; C = 22m

Using: $C = \pi D$

$C = 3.142 * 5$

$C = 15.71$

15.71 does not approximates to 22m.

Hence, the pair do not match

B. D = 19 in; C = 60 in

Using: $C = \pi D$

$C = 3.142 * 19$

$C = 59.698$

59.698 approximates to 60.

Hence, the pair match

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

Using: $C = \pi D$

$C =3.142 * 33$

$C =103.686$

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