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To qualify as a function, for every value of "x" there must be but a single "y" value. This isn't the case with a circle.

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Q: Why can't a circle be a function?
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Continue Learning about Geometry

Is the circle a polygon?

i think it is .but it is my extinct and i cant explain.


Is the radius of a circle a function of its area?

You can certainly express the radius as a function of its area, yes. If the area is known, you can solve the formula for the area of the circle to uniquely get the radius. (The quadratic equation has two solutions; you will of course choose the positive solution for the radius.)


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Is the graph of a circle a function?

Yes, the graph of a circle is a function. Recall, in a circle, that x2 + y2 = r2, for circles at the origin, though you could offset it any place you want by making the equation more complex. Solving for y, you get y = square root(r2 - x2). Since square root, by definition, has two values, the plus value and the minus value, this is a function, even though each x has two values for y, within the domain of +/-R.Some people might say that the graph of a circle is not a function, because it violates the single value test, i.e. if you draw a vertical line within the domain of the function, you get more than one value. In fact, however, if you convert the equation from cartesian coordinates to polar coordinates, you pass the single value test, i.e. R is constant for every theta.


Area of a Circle using Function in C?

To find the area of a circle using the circumference, you need to use the formula Area=Circumference squared divided by four times pi. For this type of equation, pi would be equal to 3.14.