A square dartboard has a circle inscribed perfectly inside it. If a dart hits the square board at random, what is the probability that it lands inside the circle?

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A 1/4
B π/4
C π/2
D 4/π

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Answer: B. π/4

• Answer: B) π/4
• Explanation: Let the side of the square be 2r. Its area is 4r². The radius of the inscribed circle is r, so its area is π r². Probability = Area of circle / Area of square = π r² / 4r² = π/4.

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A square dartboard has a circle inscribed perfectly inside it. If a dart hits the square board at random, what is the probability that it lands inside the circle?

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