Question

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 =22 over 7]

What is the area of the seating portion?

4585.82 ft2

1856.25ft2

1231.61 ft2

Answer 1

4585.82 ft2

1856.25ft2

1231.61 ft2

4680.11 ft2

Answer 2

is the answer 1231.61 feet squared?

Answer 3

I believe that the whole area is 1325 while the other area is 94. 1325-94=1231.61

Answer 4

tips?

Answer 5

moha/kinggeorge?

Answer 6

coolstude?

Answer 7

guys?

Answer 8

Be patient, we can't do these instantly. However, my solution is not 1231.61

Answer 9

sorry

Answer 10

4680.11 ft2

Answer 11

That is my solution as well.

Answer 12

how?

Answer 13

First, find the area of the shaded area. This is given by the formula \[\frac{22}{7}\left(45^2-12^2\right)\approx5911.714285...\]

Answer 14

This "shaded" area is including the wedge cut out.

Answer 15

Now we need to cut out that wedge. The easiest way to do this is with ratios. Note that the angle is \(75^\circ\). That means that the remaining area is given by the formula \[5911.714285\cdot\left(\frac{360-75}{360}\right)\approx4680.11\]

Answer 16

k

Answer 17

ty

Answer 18

makes sense now

Answer 19

You understand why I was using \[\frac{360-75}{360}\]correct?

Answer 20

yep

Answer 21

got to eat npw

Answer 22

see ya later

Answer 23

cya.

Answer 24

I'm back