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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 D

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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