Question

Find the ratio of areas of two circles if the ratio of their radii is 3:4.

Answer 1

would it be 3:4 only?

Answer 2

It should be 3^2:4^2

Answer 3

hmm

Answer 4

If the ratio of length is \(k\)
then ratio of area is \(k^2\)
then ratio of volume is \(k^3\)

Answer 5

9:16 ?

Answer 6

Let r1=3k
and r2=4k

then area of circle of r1 = pi*(3k)^2
= pi*9k^2
area of circle of r2 = pi*16k^2

then ration of circle of r1 and r2 =
pi*9k^2 : pi*16k^2
= 9:16

Answer 7

In this case \(\large k=\frac{3}{4}\)

The area would be \(\large k^2=(\frac{3}{4})^2=\frac{9}{16}\)

Exactly :)

Answer 8

Thanx both of you :)

Answer 9

You are welcome :)