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

12.08 Equations of circles

Interactive practice questions

Consider all points that are equidistant from the origin.

Which of following graphs represents this collection of points?

Loading Graph...

Graph to scale

A

Loading Graph...

Graph to scale

B

Easy

< 1min

Consider the following.

Easy

1min

Consider the circle in the graph.

Easy

< 1min

Consider the graph of the circle shown below.

Easy

< 1min

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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