Inscribed Angles and Tangents
by Anonymous
Move a point around the circle to see that the inscribed angle stays the same, then discover why a tangent is perpendicular to the radius.
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About this app
An interactive geometry lesson on inscribed angles, central angles, arcs, and tangent lines. Move points and adjust arcs to observe that an inscribed angle is half the corresponding central angle, angles standing on the same arc are equal, and a diameter subtends a 90° angle. A separate tangent section demonstrates the perpendicular relationship between a tangent and radius, equal tangent lengths from an external point, and tangent-chord angles.
Use cases
- High school students studying circle geometry
- Teachers demonstrating circle theorems visually
- Learners reviewing central and inscribed angles
- Practice with tangent-line properties and angle relationships
Features
- Three sections for central and inscribed angles, same-arc angles, and tangent properties
- Interactive controls for moving points P and T and adjusting arc AB
- Visual comparison of central angle ∠AOB and inscribed angle ∠APB
- Demonstration that angles on the same arc are equal and diameters produce 90° angles
- Illustration of perpendicular radius-tangent lines and equal tangents from an external point
- Guided missions with adjustable target angles and tangent lengths