Question Detail
Question
A central angle of 2.5 radians subtends an arc of length 35 cm on a circle. What is the radius of the circle?
Correct Answer
Option A is the correct answer.
Detailed Explanation
The relationship between arc length (s), radius (r), and angle in radians (θ) is s = rθ. Rearranging for radius gives r = s/θ. Substituting the given values, r = 35 cm / 2.5 = 14 cm.
Hint
Use the formula s = rθ and solve for the unknown radius r.