(a)[2]
Show that the angle $OAB = 15^{\circ}$.
(b)[4]
Calculate the length of the straight segment $AB$.
(c)[3]
Calculate angle $ABC$.
(d)[6]
Calculate the total area of the logo design.
(e)[2]
Calculate the actual logo's area.
Mathematics 0580 · IGCSE · Circles, arcs and sectors
Circles, arcs and sectors — practice question
The sketch depicts a logo layout built from a sector together with two triangles.
The sector, with centre $O$, has radius 8 cm and sector angle $210^{\circ}$.
$AC = 8$ cm and $\angle ACB = 72^{\circ}$. The diagram is not drawn to scale.