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Calculate the AREA of the CIRCLE

Calculate the AREA of the BOARD

Geometric probability = Area of circle / Area of board

If the iameter of the circle is 6 inches, then the radius is 3 in

So...the area of the circle is pi*(3)^2 = 9 pi in^2

The area of the board is 48 *24 = 1152 in^2

So.....the probabililty that the circle is hit is:

9pi/1152 ≈ 0.0245 = 2.45 %