1. What is the ratio of the radii of two circles with area = 3 π square units and 75π square units?

Question

b. What is the ratio of their circumferences?

2. What is the ratio of the sides of two trapezoids with area = 8 square units and 72 square units?
b. What is the ratio of their perimeters?

Answer 1

first circle: radius r1
π r1^2 = 3π
2nd circle: radius r2
πr2^2 = 75π

divide the 2nd by the first
π r2^2/(πr1^2) = 75π/3π
r2^2 / r1^2 = 25/1
r2 : r1 = 5 : 1

#2, assuming the two traps are similar,
ratio of areas = ratio of their corresponding sides

Answer 2

the answer for question 1 is wrong