Q: What is the greatest number of intercepts for a circle?

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4

There is no greatest number for a circle.

A circle can have 0, 1, or 2 x-intercepts and 0,1, or 2 y-intercepts, bringing the total to 0, 1, 2, 3, or 4 intercepts.

A straight line in Cartesian space will have at most two.

There is no fixed limit. A periodic function, such as the sine function, can have an infinite number of x-inercepts.

Related questions

A circle represented by an equation x^2 + y^2 = r^2 or a circular object represented by an equation Ax^2 + By^2 = r^2 has 2 y-intercepts and 2 x-intercepts.

There is no limit to the number of y-intercepts a line can have. The axis itself is a line and it intercepts itself an infinite number of times.

infinity

Zero

4

There is no greatest number for a circle.

tangant of circle intercepts it only on one point. In real the point where tangent meets the circle and intercepts it are same

The greatest possible number of intercepts is: 2 of one axis and 1 of the other axis.The smallest possible number of intercepts is: One of each axis.

A circle can have 0, 1, or 2 x-intercepts and 0,1, or 2 y-intercepts, bringing the total to 0, 1, 2, 3, or 4 intercepts.

The same number as the highest power of the independent variable.

A straight line in Cartesian space will have at most two.

There is no fixed limit. A periodic function, such as the sine function, can have an infinite number of x-inercepts.