The areas of two circles are in the ratio 16 to 9. What are the ratio of their radii?

1 Answer
Cesareo R.
May 30, 2016

#r_1/(r_2) = 4/3#

Explanation:

#A_1 = pi r_1^2 = 16#
#A_2 = pi r_2^2 = 9#

Dividing each equation term
#A_1/(A_2) = (pi r_1^2)/(pi r_2^2) = 16/9#
then
#(r_1/r_2)^2 = A_1/(A_2) = 16/9#
then
#r_1/(r_2) = sqrt(16/9) = 4/3#

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