Question

if ratio of area of two circles are 4:9 then what is the ratio of their circumstance.​

Answer 1

Answer:

2/3

Step-by-step explanation:

π r1 ^2 / π r2 ^2 = 4/9

r1/r2 = 2/3

2πr1 / 2πr2 = 2/3

Answer 2

If the area ratio of two circles is 4:9, then the circumference ratio is 2:3.

Step-by-step instructions:

The formula is used to compute the area of a circle:

$Area = \pi r^{2}$

where r is the circle's radius.

The ratio of two circles' areas is 4:9;

We can determine the radius ratio of the two circles based on the area ratio.

$Area_1 = \pi (r_1)^{2} \\Area_2 = \pi (r_2)^{2}$

$\frac{Area_1}{Area_2} = \frac{\pi (r_1)^{2} }{\pi (r_2)^{2} }$

$\frac{2}{9} = \frac{\ (r_1)^{2} }{\ (r_2)^{2} }$

$\frac{r_1}{r_2} = \sqrt{\frac{4}{9}$

$\frac{r_1}{r_2} = \frac{2}{3}$

The formula to find the circumference of a circle:

$Circumference = 2\pi r$

$\frac{circumference_1}{circumference_2} = \frac{2\pi r_1}{2\pi r_2}\\\\ \frac{circumference_1}{circumference_2} = \frac{ r_1}{r_2}$

Ratio of radius = ratio of the circumference

$\frac{circumference_1}{circumference_2} = \frac{2}{3}$

The circumference ratio of the two circles is 2:3.