Question

1. consider a segment of a circle. which of the following statements about a segment is false?

a segment is bound by a major arc.
a segment is a portion of a sector.
a segment is bound by a minor arc.
a segment is bound by a chord.

Explanation:

A circular segment is defined as the area bounded by a chord and the arc (either minor or major) that connects the chord's endpoints. A sector is the area bounded by two radii and an arc; a segment is a part of a sector (the sector minus the triangular area formed by the two radii and the chord). All options except one are true: segments can be bounded by major or minor arcs, are parts of sectors, and are bounded by chords. The false statement incorrectly claims a segment cannot be bounded by a major arc, but major segments (bounded by major arcs) do exist.

Answer:

A. A segment is bound by a major arc.