task_geometry__circle_polygon_composite__tangent_angle_value

Contract

1. Domain: geometry
2. Scene id: circle_polygon_composite
3. Query id: single
4. Answer schema: integer_value
5. Annotation schema: point_map

Program Contract

• solve_formula(circle_polygon_tangent_angle_construction, unknown_role=target_angle, formula_schema=tangent_radius_perpendicular_angle_transfer); scene=circle_polygon_composite; scope=tangent_angle_value

Reasoning Operations

Families: formula_evaluation

Prompt Bundle

• Prompt text is loaded from geometry_circle_polygon_composite_v1.
• Prompt modes: answer_only and answer_and_annotation.

Annotation

Prompt-facing annotation uses pixel-space keyed points for the visible construction labels. Required keys are A, B, C, D, O, and T. Numeric angle labels and angle arcs are visible diagram marks plus verifier metadata, not annotation.

Construction kind (incircle vs. semicircle) is sampled as trace metadata, not as a public query branch. The internal formula tag is tangent_angle_from_radius_perpendicular; public query metadata uses single. The prompt still describes the visible construction specifically for each generated instance.

Determinism

Generation is deterministic for a fixed seed, params, config, and prompt bundle version.

Source

• Config: src/trace_tasks/resources/configs/domains/geometry/circle_polygon_composite.yaml
• Task module: src/trace_tasks/tasks/geometry/circle_polygon_composite/tangent_angle_value.py