Segment Lengths in Circles

Segments of Chords Theorem If two chords intersect in the interior of a circle, then …

Example 1: Find the value of x.

Example 2: Find the value of x.

Segments of Secants Theorem If two secant segments share the same endpoint outside a circle, then …

Example 3: Find the value of x.

Example 4: Find the value of x.

Example 5: Find the value of x.

Segments of Secants and Tangents Theorem If a secant segment and a tangent segment share and endpoint outside a circle, then …

Example 6: Find the value of x.

Example 7: Find the value of x.

Example 8: Find the value of x. a. b. c.