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Q: What is the radius of a circle that has the same area and circumference?

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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.

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

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.

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.

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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.

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.

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.

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'

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.

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

circumference doesn't matter when solving for area..

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! :((

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.

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.

No

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