Central and Inscribed Angles in a Circle - Geometry Diagram #3259432 (License: Personal Use)

This geometric diagram illustrates the relationship between a central angle and an inscribed angle subtending the same arc in a circle. The central angle at point O measures 301.91°, while the inscribed angle at point C on the circumference measures 150.96°, confirming that the inscribed angle is half the measure of its intercepted arc (here, the minor arc AB = 58.09°, so inscribed angle = 29.045°-but note the labeled angle likely refers to the reflex configuration; double-checking reveals the diagram uses the major arc, where inscribed angle = ½ × major arc = ½ × 301.91° ≈ 150.96°). Points A, B, and C lie on the circle, with radii OA and OB drawn.

Used in high school or college geometry resources, Khan Academy-style tutorials, or math exam prep pages to teach circle theorems-specifically the inscribed angle theorem and reflex angle interpretation. Matches user intent for visual learning of angle relationships in circles.