Mathematics 0580 · IGCSE · Circles, arcs and sectors
Circles, arcs and sectors — practice question
The diagram depicts a figure formed by the major sector $AOB$ together with triangles $OBC$ and $AOD$. Here $OB=6$ cm, $BC=2$ cm, the obtuse angle $AOC=135^\circ$ and angle $BCO=90^\circ$.
(a(i))[2]
Show that angle $BOC$ is $19.5^\circ$, correct to 1 decimal place.
(a(ii))[3]
Calculate the area enclosed by the major sector $AOB$.
(a(iii))[5]
Calculate the length of $AD$.
(a(iv))[4]
Calculate the total area enclosed by the shape.
(b)[3]
Calculate the area of the larger sector shown.
Worked solution & mark scheme
This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Establish the sine ratio.” …