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Find the radian measure of the central angle Ogiven the radius r and the arc-length s transcribed by O.r = 32 cm; s = 30 cm

Find the radian measure of the central angle Ogiven the radius r and the arc-length-example-1
User Forcefsck
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1 Answer

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7 votes

Statement Problem: Find the radian measure of the central angle given the radius r and the arc-length s transcribed by the angle.

Solution:

You can also use the radius of the circle and the arc length to find the central angle. The central angle is given as;


\begin{gathered} \theta=s/ r \\ \text{Where s=arc length, r = radius} \end{gathered}

Given the radius and arc length as;


r=32cm,s=30cm
\begin{gathered} \theta=(32)/(30) \\ \theta=1.0667rad \end{gathered}

User David Gourde
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