Mathematics 0580 · IGCSE · Pythagoras' theorem

Pythagoras' theorem — practice question

A right-angled triangle ABC and a semicircle are shown. The semicircle has radius $4.5$ cm. Also, $AC = 8.9$ cm and $BC = 13.2$ cm.

(a)[5]

Calculate the shaded region's area. Include the units in your answer.

(b)[2]

Calculate the length of $AB$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “from $26.9$ to $26.93$ cm$^{2}$” …