12 If the ratio of the radii of two circles is 2:7, what is the
ratio of area of the smaller circle to the area of the larger
circle?
F. 2:7
G. 4:49
H. 8:343
J. 12:17
K. It cannot be determined base on the information
given.

4:49

Step-by-step explanation:

Here, we want to get the ratio of the smaller to the larger circle

Mathematically, the area of a circle is;

π * r^2

So for the two circles, the product π will be same

what will

be different is the square of the radius

for the first circle ,we have the radius square as 2^2 = 4

For the second, we have the radius square as 7^2 = 49

so, the ratio of the two to each other is;

4:49

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