A dart is thrown randomly at the square board below. The board has a side length of 20 cm and contains a shaded circle with a radius of 8 cm. What is the probability that the dart lands inside the shaded circle? (Use π ≈ 3.14)
A40.0%
B50.2%
C62.8%
D78.5%
Explanation
Area of square = 20² = 400 cm². Area of circle = πr² = 3.14 × 8² = 3.14 × 64 = 200.96 cm². P = circle/square = 200.96/400 ≈ 0.5024 ≈ 50.2%.
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