A family decides to build a circular pathway around their pool. The pool has a radius of 4 meters, and the walkway will extend 2 meters around the pool. If each square meter of tile costs $15, what is the cost of the walkway?
*
$471
$753.60
$942
$1,507.20
To find the area of the walkway, we need to find the area of the larger circle (pool + walkway) and subtract the area of the smaller circle (just the pool).
Area of large circle = π(4+2)^2 = π(6)^2 = 36π
Area of small circle = π(4)^2 = 16π
Area of walkway = 36π - 16π = 20π
The cost of the walkway would be the area of the walkway multiplied by the cost per square meter of tile:
Cost = 20π * $15 ≈ $942
Therefore, the cost of the walkway is $942.