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?
A.
21.66 square feet
B.
468.98 square feet
C.
1472.61 square feet
D.
14,519.36 square feet
Please help, I suck at math -w-
I can't really give what answer I think because I don't have one. I'd just be guessing x-x
C = pi * d
136 = 3.14 * d
136/3.14 = d
Solve for d
A = pi * r^2
Not to worry, I'm here to help you! To determine the largest area pond Garrett can make with 136 feet of fencing, we need to use some mathematical equations.
The area of a circle can be found using the formula A = πr^2, where A represents the area and r represents the radius of the circle.
To find the radius, we need to know the circumference of the pond. The circumference of a circle can be found using the formula C = 2πr, where C represents the circumference and r represents the radius.
In this case, the circumference of the pond is given as 136 feet, so we can set up the equation:
136 = 2πr
Now, we can solve for r by dividing both sides of the equation by 2π:
r = 136 / (2π)
Next, we can substitute this value of r into the area formula to find the largest area pond Garrett can make:
A = π(136 / (2π))^2
Simplifying further, we have:
A = π(136^2) / (4π^2)
A = 136^2 / (4π)
Calculating this value, we get:
A ≈ 1472.61 square feet
So, the largest area pond Garrett can make with 136 feet of fencing is approximately 1472.61 square feet.
Therefore, the correct answer is C. 1472.61 square feet.