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Posted on April 22, 2022 (Updated on July 9, 2025)

What is the secant of a circle?

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In geometry, a secant is a line that intersects a curve at a minimum of two distinct points. The word secant comes from the Latin word secare, meaning to cut. In the case of a circle, a secant intersects the circle at exactly two points.

Is chord a secant?

Chords are segments connecting two points on a circle, so chords become secants when extended.

How do you find the measure of a secant in a circle?

A secant is a line that intersects a circle in exactly two points. When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

What is the secant in math?

A secant line, also simply called a secant, is a line passing through two points of a curve. As the two points are brought together (or, more precisely, as one is brought towards the other), the secant line tends to a tangent line.

How do you write a secant line?

Video quote: And we're going to use this familiar formula you've seen it before M is equal to y2 minus y1 divided by x2 minus x1.

What is a chord in a circle?

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. The infinite line extension of a chord is a secant line, or just secant. More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse.

How do you find a chord?

r is the radius of the circle. c is the angle subtended at the center by the chord.



Chord Length Formula.

Formula to Calculate Length of a Chord
Chord Length Using Perpendicular Distance from the Center Chord Length = 2 × √(r2 − d2)
Chord Length Using Trigonometry Chord Length = 2 × r × sin(c/2)


What is this pi?

Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle’s size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

Which line is called as chord?

In plane geometry, a chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.

How many chords are in a circle?

R D Sharma – Mathematics 9



2 chords divide a circle into 4 regions.

What is C chord?

The notes of a C major chord are the 1st (the root note), 3rd, and 5th notes, which are C (the root note), E and G. Notice that the octave (the 8th note) is also part of the chord. In fact, either of the notes C, E and G can be played in any octave on the guitar and it will still be called a C major chord.

Is a radius a chord?

Answer: As discussed above, any line segment which connects two points on the circumference of the circle is known as a chord. While a radius connects the centre of the circle with a point of a circle. Therefore, from the definition of both terms, we can state that radius is not a chord.

What is the half of a circle called?

A semicircle is half of a circle.

Which is the longest chord of a circle?

diameter

The Longest chord of any circle is its diameter.

How do you find chords in a circle?

If the radius and the distance of the center of the circle to the chord are given, the chord of the circle can be calculated. We just need to apply the chord length formula: Chord length = 2√(r2-d2), where ‘r’ is the radius of the circle and ‘d’ is the perpendicular distance from the center of the circle to the chord.

How many times does a secant intersect a circle?

A secant is a line that intersects a circle in exactly two points.

What is true about all the radii in a circle?

By definition, all radii of a circle are congruent, since all the points on a circle are the same distance from the center, and the radii of a circle have one endpoint on the circle and one at the center.

Does all chord contain a secant?

A secant line is a line that intersects a circle at two points. Every secant line, therefore, contains a chord of the circle it intersects.

What do you call circles with equal radii?

∴ The circles having equal radii are congruent circles.

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