SatoriG260005 SatoriG260005
  • 03-11-2022
  • Mathematics
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Find the radian measure of θ if θ is a central angle in a circle of radius r=14in and θ cuts off an arc length s=7π in

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MeherW123044 MeherW123044
  • 03-11-2022

The formula for determining the length of an arc is experessed as

arc length = θ x r

where

θ is the central angle

r is the radius of the circle

From the information given,

arc length = 7π in

r = 14 in

By substituting these values into the formula,

7π in = θ x 14 in

We would divide both sides of the equation by 14 in. We have

7π in/14 in = θ x 14 in/14 in

θ = π/2

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