Garrett wants to make a circular pond in his yard and put a low fence around the edge. What is the largest area pond Garrett can make if he has 136 feet of fencing?

Why are you switching names?

We'll be glad to check your answer.

Am i right ms. sue

To find the largest possible area of the pond, we need to determine the dimensions that will allow for the maximum area within the given amount of fencing. Since the pond is circular, the perimeter of the pond will be equal to the circumference of the circle.

In this case, Garrett has 136 feet of fencing available, which will be equal to the circumference of the pond. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

We can rearrange the formula to solve for the radius:

C = 2πr => 136 = 2πr

To find the radius, we divide both sides of the equation by 2π:

r = 136 / (2π)

Now we can calculate the largest possible radius using this formula. To get an actual value, we need to use an approximation for π. Let's use 3.14 for π:

r = 136 / (2 * 3.14)

r ≈ 136 / 6.28
r ≈ 21.66 feet

Next, we can calculate the area of the circle using the formula A = πr^2, where A is the area and r is the radius:

A = π(21.66)^2

A ≈ 1472.61 square feet

Therefore, the largest area pond Garrett can make with 136 feet of fencing is approximately 1472.61 square feet.