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?
To find the area of the walkway, we need to subtract the area of the circular ice rink from the area of the larger circle formed by the outer edge of the walkway.
The formula for the area of a circle is A = πr², where A represents the area and r represents the radius.
The radius of the circular ice rink is half the diameter, so it is 100/2 = 50 feet.
The radius of the larger circle formed by the outer edge of the walkway is the sum of the radius of the circular ice rink and the width of the walkway, so it is 50 + 10 = 60 feet.
The area of the circular ice rink is π(50)² = 2500π square feet.
The area of the larger circle formed by the outer edge of the walkway is π(60)² = 3600π square feet.
Therefore, the approximate area of the walkway is 3600π - 2500π = 1100π square feet.
Using an approximate value for π of 3.14, the approximate area of the walkway is 1100(3.14) = 3454 square feet.