Understanding Circle Theorems
Circles are fascinating shapes with intriguing properties. Understanding circle theorems can unlock the mysteries of circular motion and aid in problem-solving in geometry. Here's a brief overview:
- The Angle at the Centre Theorem: The angle subtended at the center of a circle is twice the angle subtended at the circumference.
- The Inscribed Angle Theorem: An inscribed angle is half of the central angle that subtends the same arc.
- Tangents and Radii: A tangent to a circle is perpendicular to the radius at the point of contact.
- Cyclic Quadrilateral: Opposite angles in a cyclic quadrilateral sum to 180°.
Here's a little froge tip: Always draw a diagram when dealing with circle theorems! It helps visualize relationships and solve problems more effectively.
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