9
QuizMultiple Choice

Trigonometric Functions — Test

Question 9 • Mathematics III

A circle has a central angle of 6 radians that intersects an arc of length 14 in. Which equation finds the length of the radius, r , of the circle?

Answer
A
r is equal to 14 sixths
B
r is equal to 6 times 14
C
r is equal to 6 over 14
D
r is equal to 6 plus 14

Explanation

Use the arc-length formula s = rθ, where θ is measured in radians. Substituting the arc length 14 and angle 6 gives 14 = 6r, so r = 14/6. Therefore, the correct choice is “r is equal to 14 sixths.”

AI-written and checked against the verified answer.

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