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Is length of tangent to a circle from an external point is always greater than radius of circle?

Yes, the length of the tangent from an external point to a circle is always greater than the radius of the circle. This is because the tangent line is perpendicular to the radius at the point of contact, forming a right triangle where the radius is one leg and the tangent is the hypotenuse. Since the hypotenuse is always longer than either leg in a right triangle, the tangent length must exceed the radius.


Point of intersection between a tangent and circle?

A line tyhat's tangent to a circle intersects the circle in exactly one single point. The radius drawn to that point is perpendicular to the tangent.


Is the tangent of a circle its radius?

No, a tangent is a line that intersects a circle at exactly one point. The radius of a circle is the distance from the center of the circle to any point on the perimeter of the circle.


What is part of a circle?

Parts of a circle are:- Circumference Diameter Radius Chord Segment Sector Tangent


What is the relationship between a tangent line and a diameter?

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.

Related Questions

What happens between a radius and a tangent in a circle?

A tangent is always perpendicular to the radius of a circle. A radius is a straight line going from the center of the circle to the circumference (edge) of the circle. A tangent is a straight line outside the circle that touched the circle at one (and only one) point. When a tangent touches the outside edge of the circle at the same point where a radius touches the edge of the circle, the angle between the radius and tangent line is 90 degrees meaning they are perpendicular.


What is the relationship between a tangent line and a radius in a circle?

A tangent line is always perpendicular to the radius.


Is length of tangent to a circle from an external point is always greater than radius of circle?

Yes, the length of the tangent from an external point to a circle is always greater than the radius of the circle. This is because the tangent line is perpendicular to the radius at the point of contact, forming a right triangle where the radius is one leg and the tangent is the hypotenuse. Since the hypotenuse is always longer than either leg in a right triangle, the tangent length must exceed the radius.


A line that touches the circle at one point?

A tangent is a line that touches a circle at exactly one point. It is perpendicular to the radius at the point of contact.


What is the Radius tangent theorem?

The tangent of a circle always meets the radius of a circle at right angles.


Point of intersection between a tangent and circle?

A line tyhat's tangent to a circle intersects the circle in exactly one single point. The radius drawn to that point is perpendicular to the tangent.


What does the radius-tangent theorem state?

The radius-tangent theorem states that a radius drawn to the point of tangency of a circle is perpendicular to the tangent line at that point. This theorem is based on the fact that the radius of a circle is always perpendicular to the tangent line at the point where the tangent touches the circle. This relationship is crucial in geometry and helps in solving various problems related to circles and tangents.


Is the tangent of a circle its radius?

No, a tangent is a line that intersects a circle at exactly one point. The radius of a circle is the distance from the center of the circle to any point on the perimeter of the circle.


What happens where a radius meets the tangent?

The radius and the tangent are perpendicular at the point on the circle where they meet.


What is the Tangent Line to Circle Theorem?

The Tangent Line to Circle Theorem states that a line is tangent to a circle if and only if it's perpendicular to the circle's radius.


In circle A below the radius is 3 and BC is tangent to the circle. Find BC?

Not enough information has been given to find the tangent BC but it will be perpendicular or at right angles to the radius of the circle.


What is line perpendicular to radius of circle called?

A tangent.