A farmer has a fence that encloses a square plot with an area of 64 square meters. If the farmer uses this fence to enclose a circular flower garden, what will the area of the garden be?

Question

jim_thompson5910 · Answer

What is the side length of the square?

anonymous · Answer

it just says the area is 64 meters

anonymous · Answer

I think it would be 8 meters for each side

jim_thompson5910 · Answer

good

jim_thompson5910 · Answer

so what is the perimeter of that same square?

anonymous · Answer

but I am lost from there I know a circle is circumference is 2piR

anonymous · Answer

and the area is piR squared

jim_thompson5910 · Answer

what is the perimeter of that same square?

anonymous · Answer

so the perimeter of the square would be 32 meters

jim_thompson5910 · Answer

good

jim_thompson5910 · Answer

so if you were to take that square and rearrange it into a circle, you'd have a circle with a circumference of 32 meters

jim_thompson5910 · Answer

how can you use this to find the radius?

anonymous · Answer

so 32 equals 2 pi R

jim_thompson5910 · Answer

good, now solve for r

anonymous · Answer

oh I was thinking 64 equaled the 2 pi r now I get it

jim_thompson5910 · Answer

not quite, but I'm glad it's clicking now

anonymous · Answer

so r equals 5.09

jim_thompson5910 · Answer

yes approximately

anonymous · Answer

thank you so much

anonymous · Answer

you were so helpful

jim_thompson5910 · Answer

you're welcome and I'm glad I was of help to you