Properties of Circles (Inscribed & Central Angles)
by Anonymous
Measure inscribed and central angles to confirm the half relation, equal angles on the same arc, and the 90° angle on a diameter.
#math#circle_properties#inscribed_angle#middleschool#geometry#grade9#mathpractice#middleschool_math#education
About this app
An interactive middle-school geometry lesson on circle theorems, focusing on the relationship between inscribed angles and central angles. Adjust the central angle and move point P to verify that an inscribed angle is half the central angle, inscribed angles subtending the same arc are equal, and an angle subtending a diameter is always 90°.
Use cases
- Middle-school students learning circle theorems
- Teachers demonstrating inscribed and central angles
- Learners practicing angle relationships interactively
- Math review for circle and geometry units
Features
- Three tabs covering central and inscribed angles, the same arc, and semicircles
- Interactive controls for changing the central angle and moving point P
- Guided missions with target angles of 20°, 30°, 60°, and 80°
- Live angle values and ratio explanations
- Reset and next-mission buttons for each activity