answersLogoWhite

0

it doesn't matter what the shape of the area is, because it's all the same measurement, so we can assume it's a circle. the formula for the area of a circle is πr2. lets solve for r.

πr2=12.56

r2=12.56/π

12.56/π is roughly the same as 4 (if pi is 3.14, it is exactly the same, so it probably found using pi as 3.14)

r2=4

r= √4

r=2

we now have the radius of a circle, to find the circumference, we use the formula pi*diameter and diameter is the same as radius*2.

r*2=d

2*2=d

d=4

π*d=circumference

π*4

we will assume pi is 3.14 because we assumed the area was found using pi as 3.14

(3.14)*4

12.56

the answer is roughly 6.28. but what if we need a more exact answer, lets solve it again, but lets get an equation instead of a number.

πr2=12.56

r2=12.56/π

r= √(12.56/π)

r*2=d

√(12.56/ π )*2=d

π*d=circumference

π*( √ (12.56/π)*2 )

2π*√ (12.56/π)

now we got a perfect answer. if we need a number, just replace pi with a number as close to pi as you want and solve. this equation works, but we can simplify it even more if we want to.

√4π2*√ (12.56/π)

√(4π2*12.56/π)

√(4π*12.56)

√(50.24*π)

lets test it to make sure it works. if we plug in 3.14 into pi and solve, we should get the same answer as before. (25.12)

√(50.24*(3.14))

√(157.7536)

12.56

our equation works! now lets make an equation out of it that helps us solve all problems like this. 12.56 will be replaced with A.

πr2=A

r2=A/π

r= √(A/π)

r*2=d

√(A/ π )*2=d

π*d=circumference

π*( √(A/π)*2 )

2π*√(A/π)

we got an answer, but we still can simplify.

√4π2*√(A/π)

√(4π2*A/π)

√(4π*A)

√(4Aπ)

we have a equation to convert from area to circumference. lets make sure it works. if we plug in 12.56 for A and 3.14 for pi, we should get 12.56

√(4(12.56)(3.14))

√(156.7536)

12.56

it works. just to wrap things up, the rough answer with 3.14 as pi is 12.56. an exact answer with pi left as pi is √(50.24*π). the formula to find an answer to any similar problem is √(4Aπ).

User Avatar

Wiki User

13y ago

Still curious? Ask our experts.

Chat with our AI personalities

EzraEzra
Faith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa

Add your answer:

Earn +20 pts
Q: What is the circumference of 12.56 square meters?
Write your answer...
Submit
Still have questions?
magnify glass
imp