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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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Mar 19, 2019
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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.
Mathematics
high-school
Lazlo
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Lazlo
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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
Jridgewell
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Mar 23, 2019
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Jridgewell
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