SOLUTION: A farmer has a fence surrounding a 36 foot square plot and wants to use the fence to enclose a circular flower bed. The area enclosed would be?

Algebra.Com
Question 530699: A farmer has a fence surrounding a 36 foot square plot and wants to use the fence to enclose a circular flower bed. The area enclosed would be?
Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!
The square plot is 36 sq. ft., so the sides are 6 ft.
Therefore, the fence is 4*6 = 24 ft long.
In turn, the circumference of the circular plot would be 24 ft.
pi*d = 24
d = 24/pi = 7.63943727
r = 7.63943727/2 = 3.81971863
Area = pi*r^2 = 45.8366236 sq. ft.

RELATED QUESTIONS

Farmer Ed has 4,000 meters of fencing, and wants to enclose a rectangular plot that... (answered by macston)
A rectangular flower bed is 3 feet long and 8 feet wide. How many feet of fence will be... (answered by Cromlix)
Charlize has a fence around her 15 foot by 20 foot garden. If she decides to reconfigure... (answered by ankor@dixie-net.com)
A farmer wants to use 170 meters of fence to enclose an area of 1750 square meters. Find... (answered by edjones,Mathtut)
. A farmer wants to enclose a circular pen with a square fence, as shown below. If (answered by Earlsdon)
A field is bounded on one side by a river. A farmer wants to enclose the other three... (answered by nerdybill)
Farmer Ed has 3,000 meters of​ fencing, and wants to enclose a rectangular plot that... (answered by Boreal)
Jane has 64 feet of flexible plastic fence to enclose a garden. She wants to make either... (answered by Alan3354)
Farmer Ed has 900900 meters of​ fencing, and wants to enclose a rectangular plot... (answered by josmiceli)