Trigonometric Functions Practice Questions Ques3

Question: What is the radian measure of a central angle that subtends an arc length equal to the radius of the circle?

Options:

(A) 1 radian

(B) π radians

(C) 2 radians

(D) $\frac{\pi}{2}$ radians

Show Answer

Answer: A

Explanation:

(A) Correct. By definition, 1 radian is the measure of a central angle that subtends an arc length equal to the radius of the circle.

(B) Incorrect. π radians is equivalent to 180°.

(C) Incorrect. 2 radians is not a standard angle measure.

(D) Incorrect. $\frac{\pi}{2}$ radians is equivalent to 90°.