Question

The radii of two circles are in the ratio 2 ratio 3 find the ratio of the areas and circumference

Answer 1

Answer:

2:3

Step-by-step explanation:

area and circumference both are same ratio

Answer 2

Answer:

$ratio \: of \: areas \: = \frac{4}{9} \\ \\ ratio \: of \: cirumference \: = \frac{2}{3}$

Step-by-step explanation:

$r1 = 2x \\ \\ r2 = 3x \\ ratio \: of \: areas \: = \pi {(r1)}^{2} \div \pi {(r2) }^{2} = \frac{ {(r1)} ^{2} }{ {(r2)}^{2} } \\ = \frac{ {(2x)}^{2} }{ {(3x)}^{2} } \\ = \frac{4}{9}$

$\\ \\ ratio \: of \: circumference \: = \: 2\pi(r1) \div 2\pi(r2) \\ = \frac{r1}{r2} \\ = \frac{2x}{3x} \\ = \frac{2}{3}$