How many square feet of tiling will be used? (Round your answer to the nearest hundredth)

Question

Circular pool measured 40 feet from one end to the other

Passing through the center.

The bottom of the pool needs to be covered with new tiles

Answer 1

For this problem you need to find the area of the pool because that is how many square feet the bottom of the pool is.

Since it is a circle A = πr². A is the area and r is the radius.

Since we have the diameter d = 2r, so 40ft = 2r and r = 20ft

Know that we have r

A = π(20ft)² = 400π ft²

Answer 2

In order to find the number of square feet of tiling needed, we need to find the area of the bottom of the pool.

Since the pool is a circle, we will use the formula for the area of a circle:

A = πr²

 

From the problem, we know that the diameter is 40 feet

d = 40 ft

 

To find the radius (r), we divide the diameter by 2:

r = d/2 = 40ft/2 = 20ft

 

Now, in order to find the area of the bottom of the pool, we use the area formula:

A = πr² = π(20ft)²

A = 1256.64 ft²

 

Therefore, to the nearest hundredth, we need 1256.64 square feet of tiling.

Answer 3

Mya, how do we find the area of a circle? ∏r², right?

 

The measure from one end to the other through the center is the diameter. The radius is half of that, or the distance from the center to the edge, so the radius is 20.

 

So, we now have ∏(20)² = 400∏ = 1256.64 square feet.

 

Hope this helps!