## Estimate PI 2 |

14 points

In this program you estimate the famous mathematical constant π by...throwing darts at a dart board. Actually you *simulate* throwing darts because we are programming computers, and computers are ideal for running simulations. The theory is this: start with a square that measures 2 on each side; its area is 4. Inscribe a circle inside the square with a radius of 1; its area is πr^{2} or π. Randomly throw a bunch of 'darts' at the square dart board and count how many of the darts land inside the circle. The ratio *darts inside circle :: total darts* should be close to π :: 4. So π can be estimated as equal to 4 * (darts inside circle / total darts). *(Caution: don't try this with an actual dart board. You are likely to lose friends.)*

After the program loads

After the user has thrown 100 darts

After the user has thrown another 10,000 darts

You can download EstimatePI2.java to use as a starting point in writing your program. Instructions for completing the program are inside the Java file.