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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.


If a radius of a circle is perpendicular to a chord then it that chord?

Bisects

Related questions

Does a tangent contain a chord?

yes


Can a chord become a tangent?

No because a chord is a small part of the circumference and a tangent is a line outside of the circle that touches the circumference at a single point.


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.


Is a tangent in a circle a type of chord?

yes!


Can a chord also be a tangent?

In the limit, a chord approaches a tangent, but is never actually a tangent. (In much the same way as 1/x approaches 0 as x increases, but is never actually 0.)In the limit, a chord approaches a tangent, but is never actually a tangent. (In much the same way as 1/x approaches 0 as x increases, but is never actually 0.)In the limit, a chord approaches a tangent, but is never actually a tangent. (In much the same way as 1/x approaches 0 as x increases, but is never actually 0.)In the limit, a chord approaches a tangent, but is never actually a tangent. (In much the same way as 1/x approaches 0 as x increases, but is never actually 0.)


Can a chord be contained in a tangent?

No, because a tangent is the line lying on the same plane or it means there are not in the same line.


How is a tangent different from a chord?

A tangent is a straight line that touches the outside circumference of a circle at one point whereas a chord is a straight line within a circle that spans its circumference.


What is the strait line from the circumference of a circle?

It could be a tangent or a chord.


What is the measure of xyz the tangent chord angle the arc is 148?

74 degrees


What is the definition of chord in maths?

A chord is a straight line joining any 2 points on the circumference of a circle


If the measure of a tangent-chord angle is 74 then what is the measure of the intercepted arc inside the angle?

DK


If the measure of a tangent chord angle is 54 then what is the measure of the intercepted arc inside the angle?

108