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Anatomy of a Circle — Notes
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G.12(A) — Circle Theorems
1.TEKS G.12(A)Tangent-Chord Angle
Given: intercepted arc = 50°. Find the tangent-chord angle.
Step 1.An angle formed by a tangent and a chord equals half the intercepted arc: formula
Step 2.Substitute 50°: ½ × ? answer
2.TEKS G.12(A)Intersecting Chords
Given: arc1 = 160°, arc2 = 40°. Find the angle formed by two chords.
Step 1.Two chords intersect inside a circle. The angle equals half the sum of intercepted arcs: formula
Step 2.Substitute arc₁ = 160° and arc₂ = 40°: ½(? + ?) ½ × ? answer
3.TEKS G.12(A)Tangent-Chord Angle
Given: intercepted arc = 120°. Find the tangent-chord angle.
Step 1.An angle formed by a tangent and a chord equals half the intercepted arc: formula
Step 2.Substitute 120°: ½ × ? answer
Texas TEKS G.12(A) · G.13(B) · G.6(B) · G.9(A)MathViz — generated 4/8/2026