Question

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

Answer 1

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