A dart is thrown at a square board of side 10 cm. If it lands randomly on the board, what is the probability that it lands inside an inscribed circle of diameter 10 cm?
Answer and explanation
Correct answer: B. pi / 4 (approximately 78.5%)
- Step 1: Square area = 10^2 = 100 cm^2. Step 2. Circle radius = 5 cm => Area = pi 5^2 = 25pi cm^2. Step 3. P = 25pi / 100 = pi / 4 approx 78.5%. Answer: pi / 4 (approximately 78.5%). Why not the others:* pi/4 is the exact geometric ratio.
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