26+Segment+Lengths+in+a+Circle


 * Segment Lengths in a Circle**

Summary- This wikipage is designed to help you understand how to find the length of segments in a circle. There are 3 basic theorems that you need to know in order to find the lengths. The First theorem is part times part equals part times part. This is when you have two intersecting cords inside of the circle. The second theorem is outer times whole equals outer times whole. This is when you have two secants and you need to find one of the smaller parts. The third and final theorem is Outer times Whole equals Outer squared. This theorem is used when you have a secant and one part that is connected to the circle but does not go inside.

PP=PP Theorem: If two chords intersect at the interior of the circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

OW=OW Theorem: If two secant segments share the same endpoint outside the circle, then the product of the length of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of is external segment.

OW=O 2 If a secant segment and a tangent segment share an endpoint outside a circle, then the product of the length of the secant segments and the length of is external segment equals the square of the length of the tangent segment.







http://www.mathwarehouse.com/geometry/circle/tangent-secant-side-length.php http://www.mathwarehouse.com/geometry/circle/product-segments-chords.php http://regentsprep.org/Regents/math/geometry/GP14/CircleSegments.htm