Question

Find the exact area of the sector. Then round the result to the nearest tenth of a unit.

Answer 1

Given data:

Area of sector of a circle is given by,

`A=(\theta)/(360^(\circ))*2\pi r^2`
`\begin{gathered} A=(60)/(360)*2*(22)/(7)*6*6 \\ \text{ =}(1)/(6)*(44)/(7)*6*6 \end{gathered}`
`A=(264)/(7)`
`A=37.71`

Thus, the area of sector is 37.71 cm square

`\begin{gathered} A=(60)/(360)*2\pi*6*6 \\ \text{ =}(1)/(6)*2\pi*36 \\ \text{ = 12}\pi \end{gathered}`

Thus, the answer is 12pi cm sq.