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What is the approximate length of the radius of the circle.

What is the approximate length of the radius of the circle.-example-1
User AxGryndr
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Remember that the formula for the lenght of an arc is:


L=\theta\cdot((\pi)/(180))\cdot r

Where theta is the central angle in degrees.

Solving this formula for the radius r :


\begin{gathered} L=\theta\cdot((\pi)/(180))\cdot r\rightarrow(L)/(\theta)=(\pi)/(180)\cdot r\rightarrow(L\cdot180)/(\theta)=\pi\cdot r \\ \\ \Rightarrow r=(L\cdot180)/(\theta\cdot\pi) \end{gathered}

Plugging in the data given,


\begin{gathered} r=(L\cdot180)/(\theta\cdot\pi)\rightarrow r=((7.34)\cdot180)/((81)\cdot\pi) \\ \\ \Rightarrow r=5.19 \end{gathered}

Therefore, we can conclude that the arpoximate radus

User Dikirill
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