Need help on this one....
Your town is building a circular ice rink with a diameter of 100 feet. Around the ice rink will be a walkway that is 10 feet wide. What is the approximate area of the walkway?
Thanks...
3,500
I verify emma's answer. It is 3,500.
Just subtract the inner circle (the ice) from the whole area (including the walk)
pi(55^2 - 50^2)
Your town is building a circular ice rink with a diameter of 100 feet. Around the ice rink will be a walkway that is 10 feet wide. What is the approximate area of the walkway?
Three of these methods give the correct area of the figure. Which method does NOT?
To find the approximate area of the walkway, you'll need to subtract the area of the smaller circle (the ice rink) from the area of the larger circle (the walkway and the ice rink together).
First, let's find the area of the ice rink. The formula to calculate the area of a circle is: A = π * r^2, where A is the area and r is the radius.
The radius of the ice rink is half of the diameter, so it would be 100 feet / 2 = 50 feet.
Using the formula, we have: A_rink = π * (50 feet)^2 = π * 2500 square feet.
Now, we can find the area of the walkway by subtracting the area of the ice rink from the area of the larger circle. The radius of the larger circle (including the walkway) would be 10 feet + 50 feet = 60 feet.
Using the formula, we have: A_walkway = π * (60 feet)^2 - π * (50 feet)^2 = π * 3600 square feet - π * 2500 square feet.
To get the approximate area of the walkway, we can use the approximation value of π as 3.14.
So, A_walkway ≈ (3.14 * 3600) square feet - (3.14 * 2500) square feet.
Calculating, we get: A_walkway ≈ 11304 square feet - 7850 square feet.
Therefore, the approximate area of the walkway is around 3,454 square feet.