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See the given dartboard where each smaller circle has 3/4 redius of bigger circle. What is probability of hitting black?

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The dartboard in the diagram consists of an infinite number of concentric circles. Each successively smaller circle has 3/4 the radius of the preceding, larger circle.

A dart is thrown somewhere on the dartboard (striking uniformly at random over the entire area of the dartboard).

enter image description here

To 2 decimal places, what is the probability it strikes black?

posted Aug 1, 2017 by anonymous

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