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.

Respuesta :

Answer: $1226.55

Step-by-step explanation:

Calculate the area of the circle.

[tex]A=\pi r^2[/tex]

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

[tex]\frac{d}{2} =\frac{25}{2}=12.5m[/tex]

Plug into the formula:

[tex]A=(3.14)(12.5m)^2\\A=(3.14)(156.25m^2)\\A=490.62m^2[/tex]

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

[tex](2.50)(490.62)=1226.55[/tex]