12. Circles

12.01 Review: Circumference and area

12.02 Arc length and sector area

12.03 Extension: Chords of a circle

12.04 Inscribed angles and polygons

12.05 Angles from intersecting chords, secants, and tangents

Investigation: Construct a tangent to a circle from a point

12.06 Tangents to a circle

12.07 Lengths in chords, secants, and tangents

Investigation: Derive the equation of a circle from the Pythagorean theorem

12.08 Equations of circles

12.09 Review: Completing the square

12.10 Manipulating circle equations

United States of America UT

Math II

Investigation: Derive the equation of a circle from the Pythagorean theorem

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Outcomes

II.G.GPE.1

Derive the equation of a circle of given center and radius using the pythagorean theorem; complete the square to find the center and radius of a circle given by an equation.

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