A dartboard consists of a circle inside a rectangle.

the diameter of the circle equals the width of the rectangle. if the length of the rectangle is 20 units and its area is 160 squares units, what is the approximate probability that a dart that lands inside the rectangle will also land inside the circle?

a) .05
b) .25
c) .13
d) .31

y?

2 answers

area of rectangle = 160
so width = 160/20 = 8

area of circle = π(4^2) = 16π

prob of hitting circle = 16π/160 = .314 , looks like d)
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