Question

Find the Probability of the Dart Hits Inside the Rectangle
A dart is aimed at a circular board. A rectangle is drawn on the board. What is the probability that the dart hits inside the rectangle if it is known that the dart hits the circular board?

Answer 1

The probability will be given by the probability of hitting the area of the rectangle over the area of the dart board.

Step 1: calculate the area of the dart board by using its radius.

=  pie x radius squared =   3.142R^2

Step 2: area of the rectangle 
 
= length of the rectangle times width of the rectangle = L x W

probability = Area of rectangle           =      L x W
                    Area of Dart board              3.142R^2