### Should you be given a problem with a secant and a tangent intersecting in the exterior of the circle; would you be able to find the measure of one of the intersected arcs, if you are given the other intersected arc and the angle at the point of intersection? What if they ask you to find the angle when the two referred arcs are given? If they give you two intersecting tangents; would you be able to do the same?

### In this lesson we strife to give you a detailed presentation of the involved theorems when you have a tangent and a secant intersecting at the point of tangency, a tangent and a secant intersecting at an exterior point, and two tangents, or two secants intersecting at an exterior point; followed by a step by step solution of several examples. One very atractive alternative throughout the lesson is that you will have the chance to solve very similar problems on the screen with the marker tools menu and your stylus. We are sure your knowledge will not escape through the tangent!

** Lesson's Content **

** Lesson's Glossary **

**Arc **

The curved segment that is between two points in the circumference of a circle.

**Arc length **

The distance between an arc's endpoints along the path of the circle.

**Center of a circle **

The point that all points in the circle are equidistant from.

**Central angle of a circle **

An angle whose vertex is the center of the circle.

**Chord of a circle **

A segment whose endpoints are on a circle.

**Circle **

The set of points on a plane at a certain distance (radius) from a certain point (center); a polygon with infinite sides.

**Minor arc **

An arc whose endpoints form an angle less than 180 degrees with the center of the circle.

**Major arc **

An arc whose endpoints form an angle over 180 degrees with the center of the circle.

**Radii **

Plural form of radius.

Radius

The segment whose endpoints are any point on a circle or sphere and its center; the length of that segment.

**Secant to a circle **

A line that intersects the circle in two points.

**Sector **

Part of a circle containing its center and an arc.

**Semicircle **

An arc whose central angle is a right angle.

**Tangent to a circle **

A line that intersects the circle in just one point, called point of tangency.

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