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Segments in Circles Chord-Chord Product Theorem If two chords intersect inside a circle, then the products of the lengths of the segments of the chords are equal. Secant-Secant Product Theorem If two secants intersect in the exterior of a circle, then the product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment. Secant-Tangent Product Theorem If a secant and a tangent intersect in the exterior of a circle, then the product of the lengths of the secant segment and its external segment equals the length of the tangent segment squared. anskeysolbsott - - - *why ? %j°WfA¥bYAAn secant : intersects .μQs¥ ¥o "#iE keE¥E :# . Ud ¥¥T # ACUBGCACD AE 'EB= CEED wet .ph#Ee=lwEnI.Eaoywhoee.outside=wnde' outside tawny - similar 8 's ACiBC=CD2

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Page 1: TUdbridenmath.weebly.com/uploads/8/8/1/2/88121160/segments_in_circ… · Find x and length of each chord. Find x and length of each chord. Given: # &=12 Find x and length of each

Segments in Circles Chord-Chord Product Theorem If two chords intersect inside a circle, then the products of the lengths of the segments of the chords are equal.

Secant-Secant Product Theorem If two secants intersect in the exterior of a circle, then the product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment.

Secant-Tangent Product Theorem If a secant and a tangent intersect in the exterior of a circle, then the product of the lengths of the secant segment and its external segment equals the length of the tangent segment squared.

anskeysolbsott

- - -

*why?

%j°WfA¥bYAAnsecant : intersects.µQs¥⇐¥o"#iE→keE¥E:# .Ud¥¥T#↳ACUBGCACD

AE 'EB= CEED wet.ph#Ee=lwEnI.Eaoywhoee.outside=wnde'

outside

tawny - similar 8's ACiBC=CD2

Page 2: TUdbridenmath.weebly.com/uploads/8/8/1/2/88121160/segments_in_circ… · Find x and length of each chord. Find x and length of each chord. Given: # &=12 Find x and length of each

Find x and length of each chord.

Find x and length of each chord. Given: 𝐴𝐷 = 12

Find x and length of each secant segment.

Find x and length of each secant segment.

Find x

Find x

Find x . Find x.

Find x and length of each secant segment.

Find x and length of each secant segment.

Find z The diameter of the Earth as 8,000 miles, a satellite’s orbit is 6,400 miles above the Earth. Find its range, SP (a tangent segment)