# How does the tangent length relate to the secant length?

## How does the tangent length relate to the secant length?

Table of Contents

Tangent and Secant Formula: If a secant and a tangent of a circle are drawn from a point outside the circle, then the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.

## Are Secants and chords the same?

A straight line that intersects a circle in two points is called a secant line. A chord is the line segment that joins two distinct points of the circle. A chord is in a unique secant line and every secant line defines a unique chord. In geometry, a secant is a line that cuts any curve in at least two different points.

What is chord Tangent Secant?

A chord is a line segment and both secant and tangents are straight lines. • Chord is a line segment with the end points lying on a curve while a secant is a line passing through exact two points on a curve. • A tangent is a line that just touches and passes through a point on a curve.

How do you find secants?

Calculate secant by finding the reciprocal of the cosine of an angle. For the cos A and cos B in Step 3, the reciprocals are 1/cos A and 1/cos B. So sec A = 1/cos A and sec B= 1/cos B. Express secant in terms of the sides of the right triangle by substituting cos A =b/c into the secant equation for A in Step 4.

### How are the tangent secant and chord of a circle related?

A line will meet a circle at no more than two points. We call a line a secant if it intersects twice, and a tangent if it intersects once (just touching at a single point). Chords are segments connecting two points on a circle, so chords become secants when extended.

### What is the relationship of a secant and tangent intersecting in the exterior of a circle to its intercepted arcs?

related to the intercepted arcs. If two secants, a secant and a tangent, or two tangents intersect in the exterior of a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs.

Is secant the longest chord?

A chord that passes through the center of a circle is called a diameter, and is the longest chord.

Are Secants always tangents?

Tangents to the outer circle won’t touch the inner circle at all, and tangents to the inner circle will always be secants of the outer one.

## What is the difference between secant and tangent?

A line that intersects a circle in exactly one point is called a tangent and the point where the intersection occurs is called the point of tangency. The tangent is always perpendicular to the radius drawn to the point of tangency. A secant is a line that intersects a circle in exactly two points.

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