Question

The ratio of radii of two circles is 3:4.Find the ratio of their circumferences.​

Answer 1

Step-by-step explanation:

When comparing 2 similar figures, the ratio of any corresponding lengths will have the same ratio. So the ratio of the circumferences would also be 3:4. However, the ratio of the circle's areas would be those numbers squared, so the ratio of their areas would be 3²:4² = 9:16.

Answer 2

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$circumference \: = 2\pi \: r \: \\ ratio \: of \: radii \: = \frac{3}{4} \\ let \: the \: ratio \: be \: x \\ so \: the \: radii \: are \: 3x \: and \: 4x \\ now \: the \: ratio \: of \: their \: circumference \: is \: \\ = \frac{2\pi \: 3x}{2\pi \: 4x} \\ \frac{3}{4}$

so the ratio is 3:4

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