Final answer:
An inscribed angle in a circle is correctly defined by option c) Chords and radii. It is formed where two chords meeting at a common endpoint on the circle create an angle, with one side of the angle being a chord and the other being a radius from the center to the endpoint on the circle.
Step-by-step explanation:
An inscribed angle is an angle that is formed by two chords in a circle which meet at a common endpoint on the circle. This endpoint is one vertex of the angle, and the other two vertices are where each chord meets the circle. In multiple-choice options given, the correct answer is c) Chords and radii. Let's see why:
- Option a) Tangents and centers do not typically create an angle within the circle.
- Option b) Chords and diameters can form an angle, but the question specifically asks about an inscribed angle, which is defined by its location on the circumference of the circle and not necessarily by a diameter.
- Option c) Chords and radii are part of the definition of an inscribed angle. One of the segments connecting the vertex on the circumference to the center of the circle would form a radius, and the chord would span the circle from one side of the inscribed angle to the other.
- Option d) Diameters and tangents do not define an inscribed angle within the circle.
Thus, the components that make up an inscribed angle are indeed a chord that extends from one endpoint of the angle, across the circle, to the other endpoint, and a radius that connects the center of the circle to the vertex of the angle.