Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

A, B and C lie on a circle with centre O. NOT TO SCALE.

(a)[1]

Draw a tangent to the circle at point A.

(b)[2]

Calculate the radius of the circle.

(c)[1]

Give a geometric reason for angle $BCA$ being $90^\circ$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A ruled tangent is drawn at A” …