What is the ratio of the smaller circle's area to the larger circle's area?

give your answer in fully simplified form. it should look like "x: y", where x and y are replaced by integers.
[asy]
size(4cm);
pair o=(0,0); pair x=(0.9,-0.4);
draw(circle(o, sqrt(0.;
draw(circle((o+x)/2,sqrt(0.97)/2));
dot(o); dot(x); dot(-x);
draw(-x--x);
[/asy]

the image of (6, 9) under a dilation is (4, 6). the scale factor is

you are playing an adventure game on your computer. you come across a troll who won't let you pass and there is no other way to get to the other side of the river except over the bridge he is guarding.

the troll is a nerd. he takes great delight in watching people struggle with his problems. very few get them. he only gives you one chance and then he changes the puzzle. you have to solve this one.

before you are four blocks. they are numbered 11,6, -7,21.

he tells that the answer he wants is minus and between -1 and - 2. you can use +, -, ×, ÷   ( and ) as many times as you like or no times at all. you don't like the way he's looking at you, but you need to cross the bridge. what do you do?