Answer:
1. (a)4:1 (b)1:81 (c)9:25
2. (a)2:3 (b)4;5 (c)7:16
3. (a)3:5 (b)3:5 (c)9:25
Explanation:
1. Given the ratio of similitude of two similar triangles, the ratio of their areas is the square of the ratio of similitude.
(a)2:1
Ratio of Area

(b)1:9
Ratio of Area

(c)3:5
Ratio of Area

2. Given the ratio of the areas of the sides of two similar polygons, the ratio of the sides is the ratio of the square root of their areas.
(a)4:9
Ratio of Sides

(b)16:25
Ratio of Sides

(c)49:256
Ratio of Sides

3.Lengths of the Diameter are 6 and 10.
Diameter = Radius/2
Therefore, their radii are 3 and 5.
(a)Ratio of their Radii =3:5
(b)Since the circumference is still a length, Ratio of their Circumference =3:5
(c)Ratio of their Areas
