Mathematics 4024 · O Level · Circles, arcs and sectors
Circles, arcs and sectors — practice question
In Section B, $AC$ is a diameter of the circle, centre $O$, with radius $5\text{ cm}$. $\angle ACB = 64^\circ$. A baking tray is an open cylinder with radius $15.5\text{ cm}$ and a rim. The outer edge of the rim is a circle with radius $16.5\text{ cm}$.
(a)[4]
Calculate the length of minor arc $BC$.
(b(i))[2]
Calculate the area of the rim's top surface.
(b(ii))[3]
$44$ matching circular holes are removed from the bottom of the baking tray. The area of the remaining base is $650\text{ cm}^2$. Calculate the radius of each circular hole.
(b(iii))[3]
To make a pizza, the baking tray is filled completely with dough to a depth of $d\text{ mm}$. The open cylinder contains $500\text{ cm}^3$ of dough. Calculate the depth of the dough, $d\text{ mm}$, correct to the nearest millimetre.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Angles identified correctly” …