This diagram covers The Perfect Shape within Properties of Circles for GCSE Mathematics. Revise Properties of Circles in Geometry & Measures for GCSE Mathematics with 10 exam-style questions and 4 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 1 of 6 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.
The Perfect Shape
Practice questions for Properties of Circles
A triangle is drawn inside a circle with one side being the diameter. What is the size of the angle at the circumference opposite the diameter?
Prove that the angle in a semicircle is 90°, using the theorem that the angle at the centre is twice the angle at the circumference.
Quick recall flashcards
Tangent
Line touching circle at one point, perpendicular to radius
Tangent Rule
A tangent ALWAYS meets the radius at 90° at the point of contact.