We are going to calculate the value of pi by throwing darts. We will create two shapes, a square and a circle inscribed in that square, as shown below. The radius of the circle is 1 , so the length of each side of the square is 2. If we throw darts such that they all land in the square and are evenly distributed about the square, then the proportion of darts that land in the circle to the number of darts thrown is dartsthrowndartsincircle=areaofsquareareaofcircle If we throw darts such that they all land in the square and are evenly distributed about the square, then the proportion of darts that land in the circle to the number of darts thrown is dartsthrowndartsincircle=areaofsquareareaofcircle We can calculate the area of the circle as Area =r2= and the area of the square is 4 . We plug into the equation above and solve for , we get =dartsthrowndartsincircleareaofsquare If we limit our area of concern to the upper right quadrant of the square, the area of the square is reduced to 1 , and the area of the circle is /4, so the equation doesn't change, but we only have to throw darts in between 0