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

1. Find the Area of the Bigger circle. (d=90ft)
2. Find the Area of the stage.
3. Minus the two.
4. Find the area of the bigger sector
5. Find the area of the smaller sector
6. Minus the area of the smaller sector from the bigger sector.
7. Take the answer from 6. and minus from the answer of 3.

Answer 2

*By smaller and bigger sector, I meant the invisible sector of the stage and the big circle's sector.