Assessment and Learning in Knowledge Spaces (ALEKS) Practice Exam

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Which term describes a segment of a circle's area cut off by a chord?

  1. Segment

  2. Sector

  3. Chord

  4. Arc

The correct answer is: Segment

The term that describes a segment of a circle's area cut off by a chord is "segment." A segment refers specifically to the region of a circle that lies between a chord and the arc that the chord subtends. This distinct area is created when a line (the chord) connects two points on the circumference of the circle, effectively "cutting off" a portion of the circle's area from the rest. In contrast, a sector is the area enclosed by two radii and the arc between them, not involving a chord. A chord itself is merely the line segment connecting two points on the circumference and does not refer to the area it divides. An arc is the curved part of the circle between two points, but it doesn’t represent the area in question. Therefore, "segment" is the accurate term for identifying the area portion removed by a chord.