An engineer is evaluating the specifications of a circular pipe and recording various measurements. Match each measurement description with the correct geometric term.
- The total length of the continuous boundary enclosing the pipe's cross-sectionCircumference
- The straight-line measurement from the exact center of the pipe to its outer edgeRadius
- The longest straight distance across the pipe, passing directly through its centerDiameter
- The total amount of two-dimensional flat space enclosed within the pipe's boundaryArea
Answer
The boundary length matches to Circumference, the center-to-edge measurement to Radius, the edge-to-edge measurement through the center to Diameter, and the enclosed space to Area.
Each practical measurement perfectly aligns with a fundamental geometric property of a circle. The continuous outer boundary corresponds to the circumference. The distance from the center point to the edge is the radius. The line segment completely crossing the circle through its center is the diameter. Finally, the total two-dimensional region contained inside is the area.
Step-by-Step Solution
Key Concept
Basic terminology and properties of circles