If θ is measured in radians, the length of are S can be found by the relation:
Correct answer: C. S=rθ
- A. S+r/θ
- B. S=θ/r
- C. S=rθ
- D. S=r2 θ
Explanation
When measuring angles in radians, the correct relation for finding the length of arc S is given by S = rθ. This formula is derived from the definition of radian measure, where the arc length is equal to the radius multiplied by the angle in radians. The other options provide incorrect formulas or calculations that do not accurately represent the relationship between the arc length, angle, and radius.
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