Question

The radius of a circle is 14. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

A)
C
14
= π
Eliminate
B)
C
28
= π
C) C =
14π
7
D) C =
r
14π

Answer 1

C

28

= π

The diameter is equal to twice the radius.

C = 2πr

C = 2(14)π

C = 28π

C

28

= π

Answer 2

Answer and explanation:

Given : The radius of a circle is 14.

To find : Which equation expresses the ratio of the circumference of the circle to the circle's diameter?

Solution :

The circumference of the circle is
`C=2\pi r`

Radius is r=14

The circumference of the circle is
`C=2\pi* 14=28 \pi`

The circle's diameter is
`d=2r`

The ratio of the circumference of the circle to the circle's diameter is given by,

`C:d=2\pi r : 2r`

`C:d=\pi : 1`

Therefore, option B is correct.