Question

What is the angle measure? what is the area sector?

Answer 1

1)

Step 1: Write out the given parameters

`\begin{gathered} \text{radius}=6\text{units} \\ \text{length of the arc} \\ =5\pi \end{gathered}`

Step 2: To find the measure of the angle, we will use the length of a sector formula, which is:

`\begin{gathered} \text{length of arc } \\ =(\theta)/(360)*2\pi r \end{gathered}`
`\begin{gathered} 5\pi=(\theta)/(360)*2*\pi*6 \\ \theta=(5\pi*360)/(2*\pi*6) \\ \theta=(1800)/(12) \\ \theta=150^o \end{gathered}`

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