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A game at the state fair has a circular target with a radius of 10 cm

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Bunuel
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A game at the state fair has a circular target with a radius of 10 cm [#permalink] New post   17 May 2021, 19:00
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A game at the state fair has a circular target with a radius of 10 cm on a square board measuring 30 cm on a side. Players win prizes if they throw two darts and hit only the circular area on both throws. If Jim hit the board on both throws, what is the probability that Jim won the game?

A. 1/3
B. 1/9
C. π/9
D. π^2/81
E. π^2/9
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Bunuel
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Re: A game at the state fair has a circular target with a radius of 10 cm [#permalink] New post   23 May 2021, 06:45
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Bunuel wrote:
A game at the state fair has a circular target with a radius of 10 cm on a square board measuring 30 cm on a side. Players win prizes if they throw two darts and hit only the circular area on both throws. If Jim hit the board on both throws, what is the probability that Jim won the game?

A. 1/3
B. 1/9
C. π/9
D. π^2/81
E. π^2/9


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AnushkaGovil123
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Re: A game at the state fair has a circular target with a radius of 10 cm [#permalink] New post   17 May 2021, 20:49
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can I have the answer to this please?
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Gknight5603
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Re: A game at the state fair has a circular target with a radius of 10 cm [#permalink] New post   17 May 2021, 20:55
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AnushkaGovil123 wrote:
can I have the answer to this please?


total area 900
target area 100π
so probability of hitting: 100π/900 = π/9

because he has to hit the target both times so the required probability will be (π/9)^2

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Re: A game at the state fair has a circular target with a radius of 10 cm [#permalink] New post   03 Dec 2022, 10:00
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Re: A game at the state fair has a circular target with a radius of 10 cm [#permalink]
03 Dec 2022, 10:00
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