eli186emcem eli186emcem

18-04-2018
Mathematics

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A central angle in a circle with radius 7 inches has the measure θ , in radians. The length of the arc subtended by the central angle is 5π/3 inches.

What is the value of θ , rounded to the nearest tenth of a radian?

θ≈

You get 25 points if answered :)

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backseatdog backseatdog

18-04-2018

The relationship between arc, radius, and central angle in radians is:

Θ = s/r

So just plugging in the values:

Θ = (5π/3)/7 = 5π/21 ≈ 0.748 or 0.7

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