Question

A circular Garden has an area of approximately 153.86 square feet Iris wants to put a fence around the garden how much fencing does she need to enclose the garden explain how to apply the formulas for area and circumference of a circle to determine the length of fencing use 3.14 for pi

Answer 1

To find the length of fencing needed to enclose the circular garden, use the formula for the circumference of a circle and the formula for the area of a circle. Substituting the given area of the garden into the area formula, solve for the radius. Then, substitute the radius into the circumference formula to find the length of fencing.

Step-by-step explanation:

To determine the length of fencing needed to enclose the circular garden, we need to find the circumference of the circle. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since we are given the area of the garden, we can use the formula for the area of a circle, A = πr², to find the radius. Once we have the radius, we can substitute it into the circumference formula to find the length of fencing needed.

Given that the area of the garden is approximately 153.86 square feet, we can solve for the radius as follows:

A = πr²
153.86 = 3.14r²
r² = 49
r = √49
r = 7

Now, we can substitute the radius into the circumference formula:

C = 2πr
C = 2(3.14)(7)
C ≈ 43.96

Therefore, Iris would need approximately 43.96 feet of fencing to enclose the garden.

Answer 2

First, you need to find the diameter step by step
Step 1) divide the area by pi

153.86/3.14 = 4

Step 2) get the square root of 49

The square root of 49 is 7, so the radius is 7

Now, find circumference using c =
`\pi d`

c=7(3.14)

3.14(7) = 21.98

21.98 square feet is the circumference (fencing)

I hope this helped