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23-05-2018
Mathematics

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ASAP

A central angle θ in a circle with a radius of 3.5 centimeters intercepts an arc with a length of 6.3 centimeters.

What is the radian measure of θ ? Enter your answer, as a decimal, in the box.

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carlosego carlosego

03-06-2018

By definition, the arc length is given by:
S = r * θ
Where,
r: radio
θ: central angle
Clearing θ we have:
θ = S / r
Substituting the values we have:
θ = 6.3 / 3.5
θ = 1.8 radians
Answer:
the radian measure of θ is:
θ = 1.8 radians

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