Question

1. which of the following statements is true about minor arcs?

the central angle of a minor arc is equal to 360°.
the central angle of a minor arc is less than 180°.
the central angle of a minor arc is greater than 270°.
the central angle of a minor arc is equal to 180°.

Explanation:

To determine the true statement about minor arcs, we recall the definition of a minor arc: a minor arc is an arc of a circle whose measure (central angle) is less than \(180^\circ\). A central angle of \(360^\circ\) is a full circle, \(180^\circ\) is a semicircle (major or minor? No, semicircle is neither, but minor arcs are less than \(180^\circ\), major arcs are greater than \(180^\circ\)), and greater than \(270^\circ\) is not a minor arc. So the correct statement is that the central angle of a minor arc is less than \(180^\circ\).

Answer:

The central angle of a minor arc is less than \(180^\circ\) (the option with this statement).