Question

what is formed by two line segments that connect the center of a circle to the endpoints of an arc?
a. minor arc
b. major arc
c. central angle
d. chord

Explanation:

• Option A: A minor arc is a part of the circle's circumference, not formed by line segments from the center.
• Option B: A major arc is also a part of the circumference, larger than a semicircle, not related to center - connected segments.
• Option C: A central angle is defined as an angle whose vertex is the center of the circle and whose sides are two radii (line segments from the center to the endpoints of an arc). This matches the description.
• Option D: A chord is a line segment with both endpoints on the circle, not necessarily passing through the center.

Answer:

C. Central angle