Best Answer

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.

More answers

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.

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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A concentric circle.

The area of a circle with radius 5 is 25 pi. Concentric circles with radius 3 and 4 have areas of 9 pi and 16 pi. The concentric circle with radius four consumes the circle with radius 3. 25 pi minus 16 pi leaves 9 pi of the circle with radius 5 left over. 16 pi is slightly over three-fifths of the circle with radius 5.

concentric

Concentric circles, are circles within circles. Each concentric circle on the surface of a disk represents a track, the narrower the circle is, the more data can be stored on the disk.

Non concentric circles are circles that do not share the same center point.

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A concentric circle looks like a bullseye or a target. It is a big circle with littler circles inside of it with the same centerponit

Concentric Circle

The area of a circle with radius 5 is 25 pi. Concentric circles with radius 3 and 4 have areas of 9 pi and 16 pi. The concentric circle with radius four consumes the circle with radius 3. 25 pi minus 16 pi leaves 9 pi of the circle with radius 5 left over. 16 pi is slightly over three-fifths of the circle with radius 5.

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Concentric circles, are circles within circles. Each concentric circle on the surface of a disk represents a track, the narrower the circle is, the more data can be stored on the disk.

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Non concentric circles are circles that do not share the same center point.