(i)[4]
the numerical value of $\theta$.
(ii)[2]
the amount of paper required to make the cone.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
Fig. 1 illustrates a hollow cone without a base, constructed from paper. Its radius is $6\text{ cm}$ and its height is $8\text{ cm}$. The paper is sliced from $A$ to $O$ and then unfolded to create the sector shown in Fig. 2. The circular lower edge of the cone in Fig. 1 becomes the arc of the sector in Fig. 2. The sector angle is $\theta$ radians. Calculate