Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

Points A, B and C are on a circle with centre O and AC as the diameter. The diagram is not drawn to scale. AB measures 6 cm and BC measures 10 cm.
(a(i))[1]

Complete the sentence. Angle $ABC$ is $90^\circ$ because ...

(a(ii))[2]

Find the area of triangle $ABC$.

(a(iii))[2]

Find $AC$.

(b)[2]

Make $r$ the subject of the formula $A = \pi r^2$.

(c)[4]

Find the shaded area.

Worked solution & mark scheme

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