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

0 9. Find the area of the outlined sector. Leave answer in terms of 6 cm 210° 7.11 T-example-1
User Muhsin
by
7.4k points

1 Answer

2 votes

Answer:

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

User Javier De La Cueva
by
8.1k points
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