GCSE Maths Practice: circle-theorems

Question 10 of 10

This multiple-answer question focuses on Circle Theorems related to angles subtended by arcs.

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\( \begin{array}{l}\text{Which theorems relate to angles formed by arcs?}\end{array} \)

Select all correct options:

Check which properties relate directly to arcs and angles in the circle.

The angle at the center is always twice the angle at the circumference subtended by the same arc. Also, angles in the same segment of a circle are equal. These theorems help in solving problems involving chords, arcs, and cyclic quadrilaterals. Recognizing which theorems relate specifically to arcs allows students to calculate unknown angles and reason geometrically for GCSE exam questions. Practising these relationships improves speed and accuracy in diagram interpretation and geometric proofs.