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Circle Tangents and Secants Geometry Formulas

Learn about secant, tangent, angles, and arcs in relation to circles with examples and formulas. Practice finding angle measurements and segment lengths on the circle. Improve your geometry skills!

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Circle Tangents and Secants Geometry Formulas

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  1. Name a segment tangent to circle A. • What is the • If BD = 36, find BC. • If AC = 10 and BD = 24, find AB. • If AD = 7 and BD = 24, find BE. Session 25 Warm-up D B E A C

  2. Time to make a Wheel of Formulas

  3. Cut out this part.

  4. Central Angle Vertex OUTSIDE circle Vertex ON circle Vertex INSIDE circle Write your name here.

  5. Secant Anglesand Secant – Tangent Angles

  6. A secant line intersects the circle at exactly two points. SECANT sounds like second

  7. Case I:Vertex is ON the circle ANGLE ARC ARC ANGLE

  8. Ex. 1 Find m1. A B 1 124° C m1 = 62

  9. Ex. 2 Find m1. 1 84° m1 = 42

  10. 108° Ex. 3 Find m1. 1 m1 = 126

  11. Case II:Vertex is inside the circle A ARC B ANGLE D ARC C Looks like a PLUS sign!

  12. Ex. 4 Find m1. 93° A B 1 D C 113° m1 = 103

  13. Ex. 5 Find mQT. mQT = 100 N Q 84 92 M T

  14. Case III:Vertex is outside the circle C ANGLE small ARC A D LARGE ARC B LARGE ARC LARGE ARC small ARC ANGLE small ARC ANGLE

  15. Ex. 6 Find m1. 1 15° A D 65° B m1 = 25

  16. Ex. 7 Find mAB. mQT = 16 A 27° 70° B

  17. Ex. 8 Find m1. 260° 1 m1 = 80

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