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. What is the area of the seating portion?

Answer 1

I remember you said to find the area of the big circle and the area of the small circle

Answer 2

the area of the big circle was 6364.285714

Answer 3

and the area of the small circle was 452.5714286

Answer 4

And then you multiply the areas by .75, right?

Answer 5

so

Answer 6

hey how did u find area of small circle.. ?

Answer 7

12 squared times 22/7

Answer 8

did I do something wrong?

Answer 9

yh.. now i see diameter of stage is 24m
so we have both areas now...

Answer 10

k

Answer 11

so do you multiply the areas by .75?

Answer 12

why ?

Answer 13

well...

Answer 14

The subtraction of both areas is only 5911.714285

Answer 15

4680.11 ft2 I need this answer, right?

Answer 16

it is 75 degrees that is missing in the circle.
its not 75 %.
so... we need to multiply big circle area with 75/360 u see ?

Answer 17

ohhhhhhhhhhhhh

Answer 18

that gives me 1325.892857

Answer 19

1) we need to fully remove small circle area from big circle.
2) remove 75 degree circle.
3) add 75 degree sector of small circle

Answer 20

becos we are removing it two times

Answer 21

ehhh

Answer 22

so what are you trying to say exactly?

Answer 23

add 1325.892857 twice to the small area or something?

Answer 24

wait.. let me put the wording correctly...

Answer 25

k

Answer 26

1) we need to fully remove small circle area from big circle.
2) then, from the above area, remove 75 degree sector of big circle.
3) then, from the above area, add 75 degree sector of small circle

Answer 27

hmm...

Answer 28

give me numbers that I need to multiply and add by

Answer 29

after first step, our area looks like this

Answer 30

k