lesson
Deriving the Equation of a Circle Using the Pythagorean Theorem
Derive the standard equation of a circle centered at (h, k) with radius r using the Pythagorean theorem.
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Circles and General Coordinate Geometry Applications
6 lessons
Goal
Derive the equation of a circle using the Pythagorean theorem, prove points lie on a circle, and apply coordinate geometry tools to verify geometric properties and solve real-world problems.
6 lessons
0 of 6 done
- Proving Points Lie on a Circle Using CoordinatesUp next
- Deriving the Equation of a Circle Using the Pythagorean TheoremYou are here
- Coordinate Proofs for Segment RelationshipsNot started yet
- Using Coordinates to Verify Geometric PropertiesNot started yet
- Solving Real-World Problems with Coordinate GeometryNot started yet
- Selecting Tools for Coordinate Geometry ProblemsNot started yet
Learning standards covered
111.41(b)(2)(B)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradederive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines; and
Open Global Standard:OGM.11.GEO.6
111.41(b)(1)(F)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradeanalyze mathematical relationships to connect and communicate mathematical ideas; and
Open Global Standard:OGM.11.GEO.1
OGM.11.GEO.6OGM.11.GEO.1