Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

Points A, B, C and D lie on a circle with centre O. The angle $COD$ is $124^{\circ}$, while $BCO$ is $35^{\circ}$. NOT TO SCALE.
(a(i))[2]

Calculate angle $CBD$. Give a geometrical reason for your answer.

(a(ii))[4]

Calculate angle $BAD$. Give a geometrical reason for every step in your working.

(b)[5]

Find the circumference of the circle.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: $62^\circ$, because angle at centre is twice angle at circumference

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