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Tangent:

In geometry, the tangent line (or simply the tangent) is a curve at a given point and is the straight line that "just touches" the curve at that point. As it passes through the point where the tangent line and the curve meet the tangent line is "going in the same direction" as the curve, and in this sense it is the best straight-line approximation to the curve at that point.

Chord:

A chord of a curve is a geometric line segment whose endpoints both lie on the outside of the circle.

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Q: In maths what is a tangent and what is a chord?
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Is it true or false that the measure of a tangent-chord angle is twice the measure of the intercepted arc inside the angle?

It is true that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle. When a tangent line intersects a chord of a circle, it creates an angle between the tangent line and the chord, known as the tangent-chord angle. If we draw a segment from the center of the circle to the midpoint of the chord, it will bisect the chord, and the tangent-chord angle will be formed by two smaller angles, one at each end of this segment. Now, the intercepted arc inside the tangent-chord angle is the arc that lies between the endpoints of the chord and is inside the angle. The measure of this arc is half the measure of the central angle that subtends the same arc, which is equal to the measure of the angle formed by the two smaller angles at the ends of the segment that bisects the chord. Therefore, we can conclude that the measure of a tangent-chord angle is half the measure of the intercepted arc inside the angle.


The measure of a tangent chord angle is twice the measure of the intercepted arc inside the angle?

false


What is the measure if an arc that has 148 degrees tangent chord angle?

16*pi*r/45 where r is the radius.


How do you find x assume that segments that appear tangent are tangent?

A tangent refers to the way in which a curve is measured. The amount of deviation from the segment line is measures, then a formula applied to find the tangent.


What happens where a radius meets the tangent?

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