Thursday, December 24, 2009

Problem 407. Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center

Proposed Problem
Click the figure below to see the complete problem 407 about Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center.

Problem 407. Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center.
See also:
Complete Problem 407
Level: High School, SAT Prep, College geometry

Posted by Antonio Gutierrez at 1:56 PM
Labels: , , , , , ,

3 comments:

  1. c .t . e. oDecember 24, 2009 at 3:30 PM

    join D to O, D to E

    => ang DEG = DHA = x ( same arc DF )
    ang DEG = EDO = x ( internal ang , DO // GC )
    ang EDO = OED = x ( OD = OE = radius)
    => ang OEG = 2x = 40

    => x = 20

    ReplyDelete
  2. Sumith PeirisFebruary 7, 2019 at 12:52 AM

    < DOF = 2x =< OFE (since OD//FG) = < OEF = 40 so x = 20


    Sumith Peiris
    Moratuwa
    Sri Lanka

    ReplyDelete
  3. MarcoDecember 8, 2023 at 9:06 PM

    Join OD
    <ODA=90
    <ODA+<DGE=180
    OD//CEG
    <DOE=<OEC=140 (alt <s, OD//CG)

    <OEF=40 (adj. <s on st. line)
    Join OF, OE=OF (radius)
    <OFE=<OEF & < EOF=180-40-40=100
    <FOD=<<EOD-<EOF=40
    x=<FOD/2=20

    ReplyDelete

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