A circular swimming pool has a diameter of 20 meters. The bottom of the pool needs to be repainted every year to maintain its appearance. If the cost of paint is $3 per square meter, what is the approximate cost to repaint the pool?
*
$314
$3,768
$942
1,263
To find the cost to repaint the pool, we first need to calculate the surface area of the bottom of the pool, which is a circle.
The formula for the area of a circle is A = πr^2, where r is the radius of the circle. Since the diameter of the pool is 20 meters, the radius is half of that, which is 10 meters.
So, the area of the bottom of the pool is A = π(10)^2 = π * 100 = 100π square meters.
Given that the cost of paint is $3 per square meter, the cost to repaint the pool is 3 * 100π = 300π ≈ $942.
Therefore, the approximate cost to repaint the pool is $942. Answer choice C.