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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 :

sqdancefan

Answer:

4) rY = 3/π

Explanation:

The offered choices are equations for rY. Two are expressing rY in terms of rX, and two are expressions for rY based on the dimensions of circle Y.

The relationship between radius and circumference for a circle is ...

... C = 2πr

solving for r, we get

... r = C/(2π)

We are given that

... rX = CY = 6

Then the relations for rY will be one of ...

  • rY = CY/(2π) = 6/(2π) = 3/π
  • rY = rX/(2π)

The first of these matches the 4th selection:

... 4) rY = 3/π

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