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Circle X has radius r X = 6 units and circumference C X = 12 π units.

Circle Y has circumference C Y = 6 units.

Which equation is true?

1)rY =1/2 rX
2)rY = 2πrX
3)rY = pi/3
4)rY = 3/pi

Respuesta :

merlynthewhizz
Writing the circumference of circle X and circle Y in ratio
[tex]C_{Y}: C_{X} [/tex]
[tex]12 \pi :6 \pi [/tex]
[tex]2:1[/tex]

Circumference of Y is twice of circumference of X, hence the radius of circle Y is twice of circle X

Correct answer: option 1)
frika

Answer:

Correct choice is 4)

Step-by-step explanation:

Circle X has radius [tex]r_X = 6[/tex] units and circumference [tex]C_X=12\pi[/tex] units.

Circle Y has radius [tex]r_Y[/tex] units and circumference [tex]C_Y = 6[/tex] units.

Then

[tex]r_X\ -\ C_X,\\ \\r_Y\ -\ C_Y.[/tex]

Mathematically, you can write a proportion:

[tex]\dfrac{r_X}{r_Y}=\dfrac{C_X}{C_Y},\\ \\\dfrac{6}{r_Y}=\dfrac{12\pi}{6},\\ \\r_Y=\dfrac{6\cdot 6}{12\pi}=\dfrac{3}{\pi}\ units.[/tex]

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