(a)[5]
Find $k$ from the total area expression.
(b)[2]
Find $x$ when the total area equals $110$ cm$^2$.
Mathematics 0580 · IGCSE · Circles, arcs and sectors
Circles, arcs and sectors — practice question
The diagram depicts a sector of a circle, a triangle and a rectangle. The sector is centred at $O$, has radius $x$ cm and an angle of $270^\circ$. The rectangle measures $2x$ cm in length. The combined area of the shape is $kx^2$ cm$^2$.