Two concentric circles have circumferences of 176 m and 132 cm. What is the difference between their radii?
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Answer: B. 7 m
Explanation
Dividing the difference between circumferences by two pi isolates the difference between the two radii. Calculating forty four meters divided by two times twenty two over seven yields seven meters. Concentric circles share a common center point while maintaining a constant radial distance apart. Circumference of any circle is calculated by multiplying pi by the diameter. The difference between two concentric circle circumferences is proportional to their radius difference. Standard mathematical constants like twenty two over seven simplify calculations involving circular geometry.
Civil engineers apply concentric circle formulas when designing running tracks and circular roadways. Manufacturing processes for rings and pipes require precise control over inner and outer radii. Geometric difference calculations help determine material cross-sectional areas in mechanical engineering. Option A suggests five meters which fails to satisfy the algebraic circumference difference formula. Option C suggests eight meters which overestimates the calculated radial separation distance. Option D suggests forty four meters which mistakes circumference difference for radius difference.
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