madison square garedn in new york city
is built in the shape of a circle. its diameter is 404 ft and it accommodates 20,234 spectators, the nearest tenth of a square foot, how much area is there for each spectator...
please help i am confused...thank you :)
A = pi * r^2
A = 3.14 * 202^2
A = 3.14 * 40,804
A = 128,124.56 square feet
128,124.56 / 20,234 = ?
The exact answer would be 6.332141939310072. Since you have to round to the nearest tenth the answer would be 6.3!
To find the area available for each spectator at Madison Square Garden, we need to calculate the total area of the circle and then divide it by the number of spectators.
Here's how you can do it step by step:
1. Find the radius of the circle using the given diameter. The radius is half of the diameter, so divide 404 ft by 2 to get the radius: 404 ft ÷ 2 = 202 ft.
2. Calculate the area of the circle using the formula A = πr^2, where A is the area and r is the radius. Since we want the result in square feet, we'll use π as approximately 3.14159: A = 3.14159 × (202 ft)^2.
Plugging the values into the formula, we get A ≈ 3.14159 × (202 ft)^2 ≈ 3.14159 × 40,804 ft^2 ≈ 127,685.97 ft^2.
3. Divide the total area of the circle by the number of spectators to find the area available for each spectator. Divide 127,685.97 ft^2 by 20,234, rounding to the nearest tenth: 127,685.97 ft^2 ÷ 20,234 ≈ 6.31 ft^2.
Therefore, there is approximately 6.31 square feet of area available for each spectator at Madison Square Garden.