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What is the measure in radians of central angle 0 in the circle below

What is the measure in radians of central angle 0 in the circle below-example-1

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For this exercise you need to use the following formula:


\theta=(S)/(r)

Where θ is the Central angle in radians, "S" is the arc length and "r" is the radius of the circle.

In this case, you can identify that:


\begin{gathered} S=8\pi cm \\ r=8\operatorname{cm} \end{gathered}

Knowing these values, you can substitute them into the formula and then evaluate, in order to find the measure of the Central angle in radians. This is:


\begin{gathered} \theta=\frac{8\pi cm}{8\operatorname{cm}} \\ \\ \theta\approx\pi radians \end{gathered}

The answer is:


\pi radians

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User Graham Wheeler
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