Mathematics 4024 · O Level · Circle theorems I

Circle theorems I — practice question

The circle has centre $O$, and $AC$ and $BD$ are its diameters.
(a)[3]

Show that $\triangle ABC\cong\triangle BAD$. Provide a reason for every statement you make.

(b(i))[2]

In part (a), two tangents, $TC$ and $TD$, are drawn to the circle. The circle has diameter $8$ cm and $\angle ABD = 28^\circ$. Find $\angle CÔD$.

(b(ii))[5]

Calculate the area of the shaded region in the diagram.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: A valid congruency proof

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