Question

Explainn?


The figure below shows the top view of a circular room with a circular stage. The diameter of the stage is 24 feet. The shaded portion represents the seating for the audience around the stage.



[Use π =]

What is the area of the seating portion?

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0810_13/image0044e68c662.jpg

Answer 1

sorry use \[\pi=\frac{ 22 }{ 7}\]

Answer 2

area of big circle - area of small circle - area of big circle segment + area of small circle segment

Answer 3

You can do it just use that formula and it should work out!:)

Answer 4

So I use \[A=\pi144\] to get the area of the big circle. But what do I do after that?

Answer 5

Oh, my bad are you trying to find circumference o the stage or what... if so just do 360-70=

Answer 6

Basically I'm trying to find the area of the shaded part. That's why I'm so lost. I don't get how to find it.

Answer 7

First thing to do is to find the area of the circular room (diameter = 90 ft) and the area of the stage (diameter =24 ft) and subtract the two areas to get just the seating area (ignoring the part that is cut-out). Can you do this part?

Answer 8

You need to calculate the area of the larger circle
AL=πr2=227452=?
and the area of the smaller circle
AS=πr2=227122=?

Answer 9

To figure out the shaded area (seating portion) for now I am ignoring the pie slice and just looking at the whole circle. If we calculate A_L (area of the whole circular room) and subtract A_S (area of the circular stage), that will give us the area of the ring between the two.
AL−AS

Answer 10

9114.29 ft2

8661.71 ft2

10707. 71 ft2

8749.71 ft2

Answer 11

Those are my answer choices. I'm not getting any of them.

Answer 12

It is 8749.71 ft. BTW nice pic!!! ;P