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 =22/7]

What is the area of the seating portion?

Answer 1

theta/ 360 * 2 * pi * r..

Area of sector

Answer 2

r will be = 55 - 12 = 43..

Answer 3

so 60/360*2*pi*55?

Answer 4

60/360*2*pi* 43

Answer 5

Oh, so 6*2*43*pi?

Answer 6

Err, I meant 6

Answer 7

i guess, 45.05 sq ft...

Answer 8

I got 1620.24, but that isnt one of my answer choices.. @Ganpat
@ganeshie8 can you help?

Answer 9

area of seating region =

\(\huge\frac{300}{360} * [\pi*55^2 - \pi*12^2]\)

Answer 10

you ever played pacman

Answer 11

Only on the computer..

Answer 12

me too... lol

Answer 13

you just remove the area of SMALL pacman from BIG pacman

Answer 14

you will get the area of seating region

Answer 15

So you do pir^2-pir^2?

Answer 16

yes!

Answer 17

thats big pacman

our circular room