Best Answer

That's a nice little algebra exercise.

Before you can begin, you need to know the formulas for the

circumference and area of a circle:

-- Circumference = (pi) x (diameter)

-- Area = (pi) x (radius)2

-- It will also be very helpful to know that the radius is 1/2 of the diameter.

And now you're ready to begin. What I'll do is solve the area formula for the radius,

adjust that to equal the diameter, and substitute that into the circumference formula.

Fasten your seat belt if necessary.

Area = (pi) x (radius)2

Divide each side by (pi):

(radius)2 = area/pi

Take the square root of each side:

Radius = sqrt (area/pi)

Double each side:

2 x radius = 2 sqrt(area/pi)

Now go and get the formula for the circumference:

Circumference = (pi) x (diameter)

Do you have the diameter ? Look a few lines higher ... you just found (2 x radius),

and that's the diameter. Substitute it in the circumference formula:

Circumference = (pi) x 2 x sqrt(area/pi) .

That's it. If you know the area, then you know everything on the right side,

and you can calculate the circumference.

The result can be tidied up a bit, without changing it:

Circumference = 2 x sqrt( area x pi )

Q: How do you find the circumference of a circle from the area?

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Area of a circle = 3.14 * r2 Thus, radius, r = root of ( Area of a circle / 3.14 ) --------- equation 1 Circumference of circle = 2 * 3.14 * r Therefore, from (equation 1), Circumference = 2 * 3.14 * root of ( Area of a circle / 3.14 ). In a nutshell, first find the radius and then the circumference.

What do you have? The area of the circle or the circumference? Area: divide the area by pi, then square root it Circumference: divide the circumference by 2 then divide it by pi

Divide its circumference by 2*pi which will give the radius of the circle. Area of the circle then is pi*radius squared

Area of a circle is: A=π*r2 and r=circumference/2. Find 1/2 of the circumference and square it (multiply by same number), then multiply by pi.

Square root (Area/pi) to get the radius Then 2xRadiusxPi= Circumference

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The circumference is: 32.1

The area of a circle when the circumference is 10 inches is: 7.96 square inches.

The formula to find the circumference of a circle is C = 2πr, where r is the radius of the circle. To find the circumference, you first need to find the radius by using the formula for the area of a circle (A = πr^2). Given that the area is 201.06, you can solve for the radius. Once you have the radius, you can plug it into the formula C = 2πr to find the circumference.

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To find the circumference of a circle then multiply pi (3.14159265...) by the diameter of the circle. To find the area then multiply pi by the radius squared.

Circumference of a circle = 2*pi*radius or diameter*pi Area of a circle = pi*radius squared

Area of a circle = 3.14 * r2 Thus, radius, r = root of ( Area of a circle / 3.14 ) --------- equation 1 Circumference of circle = 2 * 3.14 * r Therefore, from (equation 1), Circumference = 2 * 3.14 * root of ( Area of a circle / 3.14 ). In a nutshell, first find the radius and then the circumference.

Area of the circle = (circumference)2 / (4 pi)Area = 0.0796 circumference2(rounded)

What do you have? The area of the circle or the circumference? Area: divide the area by pi, then square root it Circumference: divide the circumference by 2 then divide it by pi

To find the circumference of a circle when you know the area, you first need to find the radius of the circle using the formula for the area (area = πr^2). Once you have the radius, you can calculate the circumference using the formula for the circumference (circumference = 2πr).

Divide its circumference by 2*pi which will give the radius of the circle. Area of the circle then is pi*radius squared

Area of a circle is: A=π*r2 and r=circumference/2. Find 1/2 of the circumference and square it (multiply by same number), then multiply by pi.