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The probability as a fraction that a point chosen at random within a circle of radius 10 cm will be inside a concentric circle of radius 4 cm is the ratio of the area of the smaller circle (4 cm radius) to the area of the larger circle (10 cm radius).

Therefore, the probability is (4^2)/(10^2) = 16/100 = 4/25.

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4mo ago
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6y ago

Area circle = π × radius²

Area smaller circle = π × (4 cm)² = 16π cm²

Area larger circle = π × (10cm)² = 100π cm²

→ probability inside smaller circle = area_smaller_circle/area_larger_circle

= 16π cm²/100π cm² = 16/100 = (4×4)/(4×25) = 4/25.

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Q: What is the probability as a fraction that a point chosen at random within a circle of radius 10 cm will be inside a concentric circle of radius 4 cm?
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