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?
21.66 square feet
468.98 square feet>>>>i think
1472.61 square feet
14,519.36 square feet
no, your choice is not correct
circumference = 136
2πr = 136
r = 68/π
area = π r^2
= π(68/π)^2 = 1471.86
oh thanks :3
Mr reiny your math is slightly off you may want to check it
it should be
1472.61 as your final answer
re due your math
Your answer is correct. The 136 feet will make the circumference of a circle which is 2*pi*R where R is the radius, so you can calculate the radius of the circle by dividing 136 by 2*pi. Next, you can obtain the area of this circle, which will be the same as the area of the pond, by using the formula Area = pi*R^2. Try it out!
kid-wonderific weirdo could you explain how you got the answer
To calculate the largest area pond Garrett can make, we need to determine the radius of the pond. Since the pond is circular, the perimeter of the fence will be 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.
In this case, the perimeter of the fence is given as 136 feet. So we can set up the equation:
136 = 2πr
To find the radius, we can solve for r:
r = 136 / (2π)
Now that we have the radius, we can calculate the area of the pond using the formula for the area of a circle:
A = πr^2
Substituting the value of r we found above:
A = π(136 / (2π))^2
Simplifying:
A = (136 / (2π))^2
Calculating the area gives us:
A ≈ 468.98 square feet
So, the largest area of a pond Garrett can make with 136 feet of fencing is approximately 468.98 square feet.