Question

0

9. Find the area of the outlined sector. Leave answer in terms of
6 cm
210°
7.11
T
3.6

Answer 1

21
`\pi`

Explanation:

The formula to find the area of a sector is Arc Measure / 360 x area of the circle.

We see that the measure (degree) of the sector we need to find is 210 so we plug that into the formula to get 210/360 which is 21/36.

Next, we must multiply by the area of the circle which is
`\pi r^2` which in this case is
`\pi 6^2` which is 36
`\pi`

Next we multiply 36 pi by 21/36 to get
`36\pi (21)/36` we can cancel the 36's on the top and bottom and will be left with 21
`\pi`

Final Answer: 21
`\pi`