Circle Properties

In this topic, students will study the key properties of circles, a fundamental shape in geometry. They will explore parts of a circle such as radius, diameter, chord, tangent, arc, and sector. The course covers important theorems related to angles in circles, lengths of arcs, and areas of sectors. Students will use these properties to solve geometric problems and understand the application of circles in different contexts.

Learning Outcomes:
The learner should be able to:

• Identify and define parts of a circle (radius, diameter, chord, tangent, arc, sector).
• relate angles made by an arc at the circumference and centre.
• determine the tangent, chord and angle properties of the circle.
• determine and uses the properties of a cyclic quadrilateral.
• find the length of the common chord for two intersecting circles.
• Calculate the length of arcs, the area of sectors and segments.
• Understand and apply theorems related to angles in circles, including angles at the centre and circumference.
• Solve problems involving tangents and chords.
• Use circle properties to prove geometric statements.
• Apply circle properties to solve practical and theoretical problems.