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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.

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Q: What happens between a radius and a tangent in a circle?
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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 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.


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What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a major arc whose measure is 230?

-- The major arc = 230 degrees-- The minor arc ... the arc between the tangents ... is (360 - 230) = 130 degrees.-- The line from the vertex of the angle to the center of the circle bisects the arc,so the angle between that line and the radius to each tangent is 65 degrees.-- The radius to each tangent is perpendicular to the tangent. So the radius, the tangent,and the line from the vertex to the center of the circle is a right triangle.-- In the right triangle, there's 90 degrees where the radius meets the tangent, and65 degrees at the center of the circle. That leaves 25 degrees for the angle at thevertex.-- With another 25 degrees for the right triangle formed by the other tangent,the total angle formed by the two tangents is 50 degrees.


What is the equation of the tangent line that touches the circle x squared plus y squared -8x -16y -209 equals 0 at a coordinate of 21 and 8?

Circle equation: x^2 +y^2 -8x -16y -209 = 0 Completing the squares: (x-4)^2 +(y-8)^2 = 289 Centre of circle: (4, 8) Radius of circle 17 Slope of radius: 0 Perpendicular tangent slope: 0 Tangent point of contact: (21, 8) Tangent equation: x = 21 passing through (21, 0)

Related questions

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 relationship between a tangent line and a radius in a circle?

A tangent line is always perpendicular to the radius.


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.


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.


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 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.


The angle between a tangent and the radius of a circle att the point of contact is?

It is a right angle


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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.


If a circle of radius 2 is externally tangent to a circle of radius 8 what is the length of their common tangent?

the length of thr direct common tangent will be 2*{1/2 power of (r1*r2)} the answer will be 8 units in this case...


What is an Angle whose side is tangent to a circle called?

There is no specific name for such an angle.