Question

A circle has a radius of 5 inches and a central angle that intercepts an arc with a length of 30 in. What is the measure, in radians, of this central angle

Answer 1

∅ = 6 radians

Explanation:

s = r ∅

s is arc length

r is radius

∅ is the central angle in radians

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Plug in the givens

30 = 5 ∅

Divide both sides by 5

∅ = 6 radians

(FYI : 6 radians is about 343.8º)