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Kaylis [27]
3 years ago
15

The ratio of the diameters of two circles is y:z. What is the scale factor of the circles?

Mathematics
2 answers:
Ne4ueva [31]3 years ago
8 0

Answer:

The scale factor is  \frac{y}{z}

Step-by-step explanation:

We are Given with Ratio of diameter of 2 circles which is y : z

We have to find  Scale Factor of the circles

  • Scale factor of circles is the ratio of their radii.

let, Radius of 1st circle = \frac{yx}{2}

let, Radius of 2nd circle = \frac{zx}{2}

So, The scale factor = \frac{Radius\: of\: 1st\: circle}{Radius\: of\: 2nd\: circle}

                                 = \frac{\frac{yx}{2}}{\frac{zx}{2}}

                                 = \frac{yx}{2}\times\frac{2}{zx}

                                 = \frac{y}{z}

Therefore, The scale factor is  \frac{y}{z}

Rudiy273 years ago
7 0
The scale factor is the ratio of the areas of the 2 circles.

areas =  pi (y/2)^2 and pi (z/2)^2

 so required ratio = y^2 : z^2
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