Question

What is the area of a sector bounded by a 48 degree arc?

Answer 1

Step 1: Write out the given parameters

Step2: Write out the formula

`\begin{gathered} \text{The area of a sector =}(\theta)/(360)*\pi r^2 \\ \end{gathered}`

then Substitute the value into the formular

`\begin{gathered} (48)/(360)*\pi*9^2 \\ (3888)/(360)\pi \\ =(54)/(5)\pi cm^2 \end{gathered}`

Hence the area of the sector is 54/5πcm² or putting π=3.14

We have

Therefore the area of the sector is 33.912cm²