In a circular dartboard of radius 20 cm, there are 5 concentric circles. the rad

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In a circular dartboard of radius 20 cm, there are 5 concentric circles. the radius of each inner concentric circle is 4 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.

Options:

A . 15

B . 125

C . 1π

D . 0

Answer: Option B
:
B

In A Circular Dartboard Of Radius 20 Cm, There Are 5 Concent...

Difference in radius between 2 circles = 4cm
Let, radius of small circle be x.

\Rightarrow

x + 4 + 4 + 4 + 4 = 20 (from the diagram)

\Rightarrow

x = 4cm
Probability that the dart hits anywhere in the small circle =

\frac{a r e a (i n n e r m o s t c i r c l e)}{a r e a (o u t e r m o s t c i r c l e)}

= \frac{π {.4}^{2}}{π 20^{2}}

= \frac{1}{25}

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