Question

questions: a. how did you identify and name the radius, diameter, and chord? how about the semicircle, minor arc, and major arc? inscribed angle and central angle? b. how do you describe a radius, diameter, and chord of a circle? how about the semicircle, minor arc, and major arc? inscribed angle and central angle? write your answers in the table below. terms related to circles description 1. radius 2. diameter 3. chord 4. semicircle 5. minor arc 6. major arc 7. central angle 8. inscribed angle c. how do you differentiate among the radius, diameter, and chord of a circle? how about the semicircle, minor arc, and major arc? inscribed angle and central angle?

Explanation:

1. Radius: A line - segment from the center of a circle to any point on the circle.
2. Diameter: A chord that passes through the center of the circle. It is twice the length of the radius.
3. Chord: A line - segment whose endpoints lie on the circle.
4. Semicircle: Half of a circle formed by a diameter and the arc it subtends.
5. Minor arc: An arc of a circle that is less than a semicircle.
6. Major arc: An arc of a circle that is greater than a semicircle.
7. Central angle: An angle whose vertex is at the center of the circle and whose sides are radii.
8. Inscribed angle: An angle whose vertex lies on the circle and whose sides are chords.

To differentiate: The radius is from center to circle, the diameter is a special chord through the center, and a chord is any line - segment between two points on the circle. A semicircle is half the circle, a minor arc is smaller than a semicircle, and a major arc is larger. A central angle has its vertex at the center while an inscribed angle has its vertex on the circle.

Answer:

Terms Related to Circles	Description
2. diameter	A chord passing through the center of the circle; twice the radius
3. chord	A line - segment with endpoints on the circle
4. semicircle	Half of a circle formed by a diameter and its arc
5. minor arc	An arc less than a semicircle
6. major arc	An arc greater than a semicircle
7. central angle	An angle with vertex at the center of the circle and sides as radii
8. inscribed angle	An angle with vertex on the circle and sides as chords