Cat and Mouse Game

There is a mouse stuck in the center of a perfectly circular pond, with a cat that wants to eat it on the edge of the pond. Luckily for the mouse, the cat cannot swim at all, and the mouse can run much faster than the cat on land. Unluckily for the mouse, the mouse is only able to swim at one-fourth the speed that the cat can run on land. Is it possible for the mouse to escape?

Well, whatever your initial prediction, feel free to test it on a JavaScript-based version of this problem where you play as the mouse (the white dot) trying to escape the cat (the red dot). You win if you are able to get to the edge without the cat touching you.

Click anywhere on the window to pause/unpause the game. See if you can beat it!