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Secants and Tangents

Secants and Tangents. With Diameters and Central Angles. Diameter and Secant Angles. Diameter cuts the circle in half (180 °) Arc DEB is 180 °. If DE is 60, Then EB is 180 – 60 = 120°. DE = 60 °. 120°. EB = ___. Secant Angle = ½ (120 – 60). ½ (60) = 30 °. B. C. A=___. 30°. D.

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Secants and Tangents

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  1. Secants and Tangents With Diameters and Central Angles

  2. Diameter and Secant Angles • Diameter cuts the circle in half (180°) • Arc DEB is 180°. If DE is 60, Then EB is 180 – 60 = 120° DE = 60° 120° EB = ___ • Secant Angle = ½ (120 – 60) ½ (60) = 30° B C A=___ 30° D 120° 60° A E

  3. Central Angles and Two Tangents QR = 100° • Angle QOR is a central angle. • Arc QSR is a major arc. • Arc QRS = 360 – 100 = 260° Q P O S 260° QSR = ____ P = ____ R

  4. Central Angles and Two Tangents • Angle P is made out of two tangents. • Tangent Angle = ½ (260 – 100) • Angle P = ½ (260 – 100) = • ½ (160 ) = 80° Q P 260° 100° O S 260° QSR = ____ P = ____ R 80°

  5. Practice Problems: In your notebooks… Arc QR = 116° Q P 116° O S QSR = ____ P = ____ R

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