Secant of a Circle

To learn about the Secant of a circle, let’s recall what a circle is. A circle is a closed loop. In a circle, every point on the circle is at an equal distance from the center O. In a secant, the line intersects the circle at two points.

Intersecting Secants

When two secants of a circle intersect each other at a point outside the circle, there becomes an intersecting relationship between those two line segments.

If PQ and RS are the intersecting secants of the given circle then ( P + Q). Q = (R + S) .S

Secant of a Circle

How do you find the secant of a circle?

Secant intersects the circle exactly at two points. The measure of an angle formed by a tangent and a secant or two secants or two tangents which intersect outside the circle is one half the positive difference of the measures of the intercepted arcs.

The circle’s diameter is also a secant

A secant is an extension of a chord in a circle which is a straight line segment of which the endpoints lie on the circle. If the same chord passes through the center of the circle, then it is a diameter. So an extended Diameter is a secant.

How do you find secant segments?

If a secant and a tangent of a circle are drawn from a point outside the circle.

Lengths of the secant × its external segment = (length of the tangent segment)2

Difference between a secant and a chord

A part of a line between the two endpoints is called a line segment. A line which touches the circle at two points is called a chord and a line which intersects the circle at two points.

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Learn more on Circles

Circle formula

Equation of a Circle

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