Which statement explains why all circles are similar?

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Which statement explains why all circles are similar?

The diameter of every circle is proportional to the radius.

The inscribed angle in every circle is proportional to the central angle.

There are 360° in every circle.

The ratio of the circumference of a circle to its diameter is same for every circle.

xeroxlion Feb 23, 2019

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1⁺⁰ Answers

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The ratio of the circumference of a circle to its diameter is same for every circle.

To see why this is true.....note that the circumference = 2pi^r = (2r)*pi = (diameter)* pi

So

circumference / diameter = (diameter) * pi / diameter = pi (which is a constant)

CPhill Feb 23, 2019

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