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Tresset [83]
3 years ago
8

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 rad

ians, of this central angle
Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

∅ = 6 radians

Step-by-step explanation:

s = r ∅

s is arc length

r is radius

∅ is  the central angle in radians

--------------------------------

Plug in the givens

30 = 5 ∅

Divide both sides by 5

∅ = 6 radians

(FYI : 6 radians is about 343.8º)

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