Question

The cost of a square meter to cover a circular pool is $2.50. How much would it cost to cover the area of a pool that has a diameter of 25m? Round your answer to the nearest hundredth.

Answer 1

Answer: $1226.55

Explanation:

Calculate the area of the circle.

`A=\pi r^2`

You do not have the radius, but you do have the diameter. Divide the diameter by 2 in order to find the radius.

`(d)/(2) =(25)/(2)=12.5m`

Plug into the formula:

`A=(3.14)(12.5m)^2\\A=(3.14)(156.25m^2)\\A=490.62m^2`

Now, each square meter costs $2.50, calculate how much it costs to cover 490.62 square meters.

`(2.50)(490.62)=1226.55`