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Geometric Probability

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Question

A target shown in the given figure consists of three concentric circle of radii 3, 7 and 9 cm respectively. A dart is thrown and lands on the target. What is the probability that the dart will land on the shaded region?

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Solution

Given: A target is shown in figure consists of three concentric circles of radius 3, 7, and 9 cm. A dart is thrown and lands on the target

To find: Probability that the dart will land in shaded region?

Total area of circle with radius 9 cm

We know that Probability =

Hence probability of the spinner will land in shaded region is

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Figure

Q. What is the probability that a randomly thrown dart that hits the square board in shaded region
(Take

π = \frac{22}{7}

and express in percentage)

13.13

, a square dart board is shown. The length of a side of the lager square is

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