(a)[3]
The major arc $EF$ has length $9$ times the length of arc $QR$. Show that $x = 20$.
(b)[2]
Find the value of $y$ when the area of sector $QPR$ is $2\pi\text{ cm}^2$.
Mathematics 4024 · O Level · Circles, arcs and sectors
Circles, arcs and sectors — practice question
Diagram $A$ depicts a sector of a circle, with centre $D$ and radius $\dfrac{3}{4}y$ cm. The obtuse angle $EDF = 6x^{\circ}$. Diagram $B$ depicts a sector of a circle, with centre $P$ and radius $y$ cm. The sector angle is $x^{\circ}$.