Radii to Tangents - Concept

Concept Concept (1)

When a radius is drawn to a point of tangency, the angle formed is always a right (90 degree) angle. This fact is commonly applied in problems with two tangent segments drawn to a circle from a point. If two radii to tangents are drawn in, a kite with two right angles is formed and the missing angles or sides can be found. Related topics include central angles, tangent segments to a circle, and chords.

Sample Sample Problems (3)

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Radii to Tangents - Problem 1
Problem 1
How to calculate the central angle formed by radii to tangents that intersect at a point outside the circle.
Radii to Tangents - Problem 2
Problem 2
How to calculate the measure of a missing angle in a quadrilateral formed by two circles that are tangent but not congruent and their radii drawn to a common line of tangency.
Radii to Tangents - Problem 3
Problem 3
How to calculate the length of a segment drawn from the center of a circle to a point outside the circle, given the length of the tangent segment to that circle.