Some flowers are being planted in a circular flower bed with a 10-foot diameter. If each flower requires 5 square feet of space, about how many flowers can be planted?

What formula do I use to solve this?

Find area of bed.

A = pi * r^2

So, A = 3.14 x 10 squared =

??

No. The radius is half the diameter.

Then divide by 5 sq. ft.

A= 3.14 x 5 divided by 5 ?


Sorry I am lost.

The diameter is 10 so half is 5.
Then divided by 5 square feet.

Yes.

3.14 * 5^2 = area of circular bed

area of circular bed/5 = number of flowers

To solve this problem, you need to find the area of the circular flower bed and then divide it by the area required for each flower. The formula to calculate the area of a circle is:

Area = π * (radius)^2

Given that the diameter of the flower bed is 10 feet, the radius will be half of that, which is 5 feet.

First, calculate the area of the circular flower bed:

Area = π * (5)^2

Now, approximate the value of pi (π) as 3.14:

Area ≈ 3.14 * (5)^2

Area ≈ 3.14 * 25

Area ≈ 78.5 square feet

Now, you can divide the total area of the flower bed by the area required for each flower (5 square feet) to determine the number of flowers that can be planted:

Number of flowers = Area of flower bed / Area per flower

Number of flowers ≈ 78.5 / 5

Number of flowers ≈ 15.7

Since you cannot have a fraction of a flower, you would round down the answer to the nearest whole number. Therefore, you can plant approximately 15 flowers in the circular flower bed.