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Circumference, C = 2*Pi*R Area, A = Pi * R^2 A = C Pi * R^2 = 2*Pi*R --> solve for R (radius) R = 2 So, the radius of a circle with area = circumference is two.

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Q: What is the radius of a circle that has the same area and circumference?
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What is the radius of a circle that has a circumference with the same numerical value as its area?

1


Is the circumference and area of a circle the same?

The circumference of a circle is the distance arround the edge of the circle. The area of a circle is how big the inside of the circle is.


If the area of a circle and its circumference have the same numerical value what is the length of the radius?

Area = pi*r2 = 2*pi*r = circumference then r2 = 2r so that r = 2


Why is the diameter of a circle always twice the length of the radius?

A circle is the locus of points that are equidistant from a fixed point. As a result, all radii of the circle must be of the same length. A diameter is a straight line that goes from the circumference to the centre and on to the circumference on the other side. Thus it is a radius from the circumference to the centre and then another radius from the centre to the circumference. And since these are the same, it is 2 radii in length.


Can a circumference of a circle be the same as the area of the circle?

No, because the circumference is a linear measure whereas the area is a square measure. However, they can have the same numerical value. If a circle has radius r cm, its circumference is 2*pi*r cm while its area is pi*r2 cm2. These two are numerically equal if 2*pi*r = pi*r2 that is, r = 2 when both measures are 4*pi = 12.6 approx. The fact that the dimensions are different means that, in other units (inches for example) the same circle will not have equal circumference and area. In this case, the circle has a circumference of 4.9 inches and an area of 1.9 sq inches: not the same.

Related questions

What is the radius of a circle that has a circumference with the same numerical value as its area?

1


What is the circumference and the area of a circle with a radius of 9 yards?

The circumference is (2 pi) times (the radius), and the area is (pi) times (the radius squared).The same statements are true for any circle, not only this one, so this is actuallyquite a powerful answer.


Can the area and the circumference of a circle have the same value?

They can't have the same value, since area has square units and circumference has linear units. But their number portions can be the same. The circumference and the area of a circle with a radius of 2 are both (4 pi), with the appropriate units.


Is the area of a circle the same as the circumference of a circle?

No. The circumference is the distance round the outer edge of the circle, calculkated as 2 x pi x the radius.The area is calculated as pi x the square of the radius.


Is the circumference of a circle the same as the area of a circle?

Yea I disagree. to the answer above. equations for solution are: Circumference = 'pi' X 'diameter', or 'pi' x '2' x 'radius' Area of a circle = 'pi' x 'radius^2' example -> radius = 5 then, circumference = '2' x '5' or '10' and, area = 'pi' x '5^2' or '25pi'


Why are the area and the circumference of a circle the same?

Frankly, I haven't the slightest clue as to what you mean by "the same." The circumference of a circle is defined as pi x 2 x radius, or pi x diameter. The area is pi x radius squared. Therefore, for real circles, these values can only be the same if the diameter measure is the same as the radius squared. This works is the radius is 1 or 2.


Is the Area of a circle and circumference of a circle have the same thing?

No,Circumference is like the perimiter and Area is the whole circle.


What is the radius when the circumference and area are the same?

circumference doesn't matter when solving for area..


What is the circumference of a circle if the radius is 18?

The circumference of a circle if the radius is 18 is: 113i have the same question and its multiple choice and none of the choices say 113! :((


Why does the volume quadruple when the radius of a cylinder is doubled?

The volume is Base x height; the Base area is the same as the formula for a circle - which is proportional to the square of the radius. For example, if you double the radius (or the diameter, or the circumference) of a circle, its area will quadruple.


Is the circumference and area of a circle the same?

The circumference of a circle is the distance arround the edge of the circle. The area of a circle is how big the inside of the circle is.


Is the area and circumference of a circle the same?

No

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