SOLUTION: The Gwennap Pit The area of a circle equals Pi (π) r2. The radius of the second seating level is s=2 meters and the radius of the third seating level is s+3. The area of the thi

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Question 1136564: The Gwennap Pit
The area of a circle equals Pi (π) r2. The radius of the second seating level is s=2 meters and the radius of the third seating level is s+3. The area of the third seating level can be found by subtracting the areas of two circles.
The area of the third seating level is 2 π s+ 5 π, or about 6.3s + 15.7 square meters.
Referring to above example:
a. Write and expression for the area of the fourth seating level in the Gwennap Pit
b. The radius of the stage level of the Gwennap Pit is 3 meters. Find the area of the stage
c. Find the area of the fourth seating level in the Gwennap Pit.

Answer by greenestamps(13208)   (Show Source): You can put this solution on YOUR website!


The problem is very poorly presented, making it impossible to answer most of the questions.

"The radius of the second seating level is s=2 meters and the radius of the third seating level is s+3".

That means the radius of the third seating level is 5 meters.

"The area of the third seating level can be found by subtracting the areas of two circles."

So the area of the third seating level is (25pi)-(4pi) = 21pi.

"The area of the third seating level is 2 π s+ 5 π, or about 6.3s + 15.7 square meters."

Since the area is 21pi, this implies that s=8 meters. But s was defined as being 2 meters. That's a contradiction -- unless s suddenly has a new meaning.

"Referring to above example:
a. Write and expression for the area of the fourth seating level in the Gwennap Pit
b. The radius of the stage level of the Gwennap Pit is 3 meters. Find the area of the stage
c. Find the area of the fourth seating level in the Gwennap Pit."

The area of the stage level is 9pi.

There is no information given about the fourth seating level, so the other two questions can't be answered.

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