Tangent Segments to a Circle - Concept

Concept Concept (1)

A tangent intersects a circle in exactly one point. When two segments are drawn tangent to a circle from the same point outside the circle, the segments are congruent. The extension problem of this topic is a belt and gear problem which asks for the length of belt required to fit around two gears. Topics related to circle radii include inscribed circles and radii to tangents.

Sample Sample Problems (3)

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Tangent Segments to a Circle - Problem 1
Problem 1
How to find the perimeter of a triangle circumscribed about a circle.
Tangent Segments to a Circle - Problem 2
Problem 2
How to find the measure of an angle formed by a chord drawn between two points of tangency.
Tangent Segments to a Circle - Problem 3
Problem 3
How to calculate the measure of an intercepted arc formed by two tangents drawn from the same point.