The sides of a central angle are
A. minor arcs
B. chords
C. radii
D. diameters
of a circle.
Answer (2)
A central angle is defined as an angle with its vertex at the center of a circle.
The sides of a central angle are formed by two radii.
Therefore, the sides of a central angle are radii.
The correct answer is C: r a d ii .
Explanation
Definition of a Central Angle A central angle is an angle whose vertex is the center of a circle, and its sides are formed by two radii extending from the center to points on the circle's circumference.
Identifying the Sides of a Central Angle Based on the definition, the sides of a central angle are radii. Therefore, the correct answer is option C.
Conclusion The sides of a central angle are radii.
Examples
Imagine a clock. The angle formed by the hour and minute hands, with the center of the clock as the vertex, is a central angle. The hour and minute hands themselves represent the radii that form the sides of the central angle. Understanding central angles helps in calculating areas of sectors and lengths of arcs in circles, which is useful in various fields like engineering and design.
The sides of a central angle are formed by two radii that extend from the center of the circle to the circumference. Therefore, the correct answer is option C: radii. Understanding this is important in various applications in mathematics and geometry.
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