Final answer:
The question involves identifying geometric elements in a circle: chords, inscribed angles, and central angles, as well as employing the relationships between angles and arc lengths in a circle.
Step-by-step explanation:
The question deals with concepts from geometry, specifically those related to a circle. The chord is a segment whose endpoints lie on the circle, the inscribed angle is an angle formed by two chords in a circle and has its vertex on the circle, and the central angle is an angle formed by two radii with its vertex at the center of the circle (C).
From the information provided, it appears that the student may be working with theorems or problems dealing with the relationships between these elements in a circle.
In a circle with a center at C, when the radius (r) of the circle is rotated through an angle (Δθ), the arc length (Δs) is the distance along the circumference corresponding to that angle.
The arc length can be calculated as a portion of the circumference based on the proportion of the angle to 360 degrees. If there are 360 degrees in a circle and a degrees in this particular arc, then the corresponding arc length can be found using the formula a/360 times the total circumference (2πr).