The angle subtended at the center of a circle by an arc of length equal to its radius is equal to:
Correct answer: D. One radian
- A. One rotation
- B. Half rotation
- C. One degree
- D. One radian
Explanation
In a circle, there are 2 π radians in one full rotation (360 degrees). The length of the arc formed by an angle in radians is given by the formula s=rθ, where s is the arc length, r is the radius, and θ is the angle in radians. If the length of the arc is equal to the radius ( s = r ), then the angle (θ) in radians is also equal to 1 radian. So, an angle subtended at the center of a circle by an arc of length equal to its radius is equal to one radian.
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