10
QuizMultiple Choice

Radian Measure — Quiz

Question 10 • Precalculus

Which equation gives the length of an arc, s , intersected by a central angle of 3 radians in a circle with a radius of 4 in.?

Answer
A
s is equal to 4 plus 3
B
s is equal to 4 times 3
C
s is equal to 3 fourths
D
s is equal to 4 thirds

Explanation

For an angle measured in radians, the arc length is s = rθ, where r is the radius and θ is the central angle. Substituting r = 4 inches and θ = 3 radians gives s = 4 × 3, or 12 inches. So the equation is “s is equal to 4 times 3.”

AI-written and checked against the verified answer.

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