GEO-G.C.2b: Identify, describe and apply relationships among radii, chords, tangents, and secants of a circle.

Identify, describe and apply relationships among radii, chords, tangents, and secants of a circle.

Example Problems

The diameter of a circle is

6

units.
What is the radius of the circle?

The radius of a circle is

1 \text{ unit}

.
What is the diameter of the circle?

The radius of a circle is

4 \text{ units}

. What is the diameter of the circle?

Khan Academy Resources

Challenge problems: Inscribed angles Challenge problems: radius & tangent Inscribed angle theorem proof Determining tangent lines: angles Challenge problems: Inscribed shapes Determining tangent lines: lengths Challenge problems: circumscribing shapes Inscribed angles Tangents of circles problems Inscribed shapes Inscribed angle theorem proof Proof: Right triangles inscribed in circles Circles glossary Proof: radius is perpendicular to a chord it bisects Proof: perpendicular radius bisects chord Inscribed shapes: find inscribed angle Tangents of circles problem (example 1)Inscribed shapes: find diameter Inscribed angles Proof: Radius is perpendicular to tangent line Inscribed shapes: angle subtended by diameter Tangents of circles problem (example 3)Proof: Segments tangent to circle from outside point are congruent Tangents of circles problem (example 2)

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