Circle theorems I
4.7What the syllabus asks of you
- Calculate unknown angles and give explanations using the following geometrical properties of circles: angle in a semicircle = 90°; angle between tangent and radius = 90°; angle at the centre is twice the angle at the circumference; angles in the same segment are equal; opposite angles of a cyclic quadrilateral sum to 180° (supplementary); alternate segment theorem.
Read the notes first
Chapter 4: Circle properties
Drill this topic
All 39 questions on Circle theorems I, untimed — answer on paper, then mark yourself against the mark scheme.
Make a worksheet
Choose the years and how many questions, then print it with the answers on separate pages.
39 questions
These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.