Question

# In a circular dartboard of radius 25cm, there are 5 concentric circles. the radius of each inner concentric circle is 5 cm less than the outer concentric circle. Find the probability that a dart hits anywhere in the smallest circle assuming that the dart doesn't hit on the boundary of any circle.

A

15

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B

125

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C

1π

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D

1

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Solution

## The correct option is B 125 Difference in radius between 2 circles = 5cm Let, radius of small circle be x. ⇒ x + 5 + 5 + 5 + 5 = 25 (from the diagram) ⇒x = 5cm Probability that the dart hits anywhere in the small circle = ar(innermost circle)ar(outermost circle) =π.52π252 =125

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