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?
Answer

6067.63 ft2

6438.49 ft2

7262.71 ft2

7389.82 ft2

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?
Answer
		
6067.63 ft2
		
6438.49 ft2
		
7262.71 ft2
		
7389.82 ft2

oaktree · Answer

Figure please?

anonymous · Answer

attachment

oaktree · Answer

Oh, this is a fun problem! :-)

oaktree · Answer

If you only want the part of the circle that's shaded, that's the 360-65 = 295 degree part.

oaktree · Answer

And if the circle is 100 feet in diameter, then it's 50^2 times pi = 2500pi.

oaktree · Answer

BUT - you need to subtract the stage for the outer circle. If the stage is 24 feet across, the radius is 12, so it's 144pi. 2500-144=2356 pi.

oaktree · Answer

But now, we want 295/360 OF that, which is 295/360 * 2356pi = 1930.61111pi. Multiplying by 22/7, we have 6067.

anonymous · Answer

=) thank-you for going through the process to show me =)