Wednesday, March 22, 2023

Geometry Problem 1528: Cracking the Circle Code: Unveiling the Tangent and Angle of an Inscribed Circle within a 90-Degree Circular Sector

Geometry Problem 1528. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1528: Geometry Problem 1528: Cracking the Circle Code: Unveiling the Tangent and Angle of an Inscribed Circle within a 90-Degree Circular Sector. Difficulty Level: High School.

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Posted by Antonio Gutierrez at 6:51 PM
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2 comments:

  1. Sumith PeirisMarch 22, 2023 at 8:51 PM

    ODQE is a square and hence < FQE = 45

    But QF = QE (radii of circle Q)
    Therefore < QEF = <QFE = 67.5 degrees

    Sumith Peiris
    Moratuwa
    Sri Lanka

    ReplyDelete
  2. Stan FULGERMarch 23, 2023 at 12:16 AM

    90=<DQE=2<DCE, CD=CE by symmetry, so <QFE=90-<DCE/2=67.5

    ReplyDelete

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