Question

1. which of the following figures shows a major arc?

Explanation:

Step1: Recall major arc definition

A major arc is an arc of a circle that is greater than a semicircle (i.e., measures more than \(180^\circ\) or spans more than half the circle).

Step2: Analyze each figure

• First figure: The arc \(TU\) is part of a sector with a right angle (\(90^\circ\) at \(C\)), so it's a minor arc (less than \(180^\circ\)).
• Second figure: The green arc (connecting the two parts) spans more than half the circle (since the other arc is shorter), so this arc is a major arc.
• Third figure: It's a full circle, not an arc (a full circle is \(360^\circ\), but an arc is a part; a full circle isn't considered a major arc in the context of arc comparison as major/minor are parts relative to a semicircle).
• Fourth figure: The arc \(CD\) appears to be less than a semicircle (minor arc).

Answer:

The second figure (with points \(A\) and \(B\) and the longer green arc)