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A tangent line to a circle is a line that touches the circle at exactly one point, known as the point of tangency. The diameter of the circle is the longest chord, passing through the center and connecting two points on the circle. At the point of tangency, the tangent line is perpendicular to the radius drawn to that point, and in the case of the diameter, the radius at the endpoint of the diameter is also perpendicular to the tangent line. Thus, while a diameter can relate to tangents by touching the circle at endpoints, they serve different geometric roles.
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Is there a relationship between the sign positive or negative of the slope of a line and the angle the line makes with the x axis?
yes, the slope of the line is the tangent of the angle
What is the relationship between circle and diameter?
The diameter is the distance across the circle. So if you split the circle in half by drawing a line through it, the diameter would be the length of that line.
What is the point of intersection of a circle of a sphere with tangent line or plane?
The point of intersection of a tangent line or plane with a circle on a sphere is the single point where the line or plane touches the circle. This point is unique because, by definition, a tangent line or plane only intersects a circle at one point without passing through it. If the tangent is from an external point, it signifies that the line or plane is just "touching" the circle at that specific location. In three-dimensional space, this concept illustrates the relationship between the geometry of the sphere and the properties of tangents.
What is the difference between tangent and secant line?
The tangent line is the instantaneous rate of change at a point on a curve. The secant line crosses a curve twice at points A and B, representing the average rate of change between those two points.
What is a tangent line?
Tangent line is a graph. This graph is to gather data.
What is the relationship between a tangent line and a radius in a circle?
A tangent line is always perpendicular to the radius.
What is one relationship between lines and circles?
A straight line touches the circumference of a circle only at one point and it is a tangent line
Is there a relationship between the sign positive or negative of the slope of a line and the angle the line makes with the x axis?
yes, the slope of the line is the tangent of the angle
What is the relationship between circle and diameter?
The diameter is the distance across the circle. So if you split the circle in half by drawing a line through it, the diameter would be the length of that line.
The definition of external tanget?
An external tangent is a line that is tangent to both circles but does not pass between them.
How do you construct a line tangent through a circle through a point outside the circle?
The tangent line only touches the outside of a circle at one given point. So an outside line perpendicular to the circle's diameter at 90 degrees should do.
What is a straight line that just touches a circle in one place called?
a tangent
What does tangent to the y axis mean?
Normally a straight line is a tangent to a curved line but, presumably, that relationship can be reversed. So a tangent to the y axis would be a curve that just touches the y axis but does not cross it - at least, not at the point of tangency.
Why do slope denoteb by tangent function?
The slope of a line and the tangent of the angle between the positive x-axis and the line are related because the tangent of the angle is defined as the ratio of the y-coordinate and the x-coordinate of some point on the line.
What is the point of intersection of a circle of a sphere with tangent line or plane?
The point of intersection of a tangent line or plane with a circle on a sphere is the single point where the line or plane touches the circle. This point is unique because, by definition, a tangent line or plane only intersects a circle at one point without passing through it. If the tangent is from an external point, it signifies that the line or plane is just "touching" the circle at that specific location. In three-dimensional space, this concept illustrates the relationship between the geometry of the sphere and the properties of tangents.
A line that intersects a circle at exactly one point?
Such a line is called a tangent line or a tangent to the circle. [Tangent is Latin for touching-- a tangent line touches the circle at just one point. ]
What is the difference between tangent and secant line?
The tangent line is the instantaneous rate of change at a point on a curve. The secant line crosses a curve twice at points A and B, representing the average rate of change between those two points.
