| Exam Board | CAIE |
|---|
| Module | FP1 (Further Pure Mathematics 1) |
|---|
| Year | 2011 |
|---|
| Session | June |
|---|
| Topic | Parametric equations |
|---|
7 A curve \(C\) has parametric equations \(x = \mathrm { e } ^ { t } \cos t , y = \mathrm { e } ^ { t } \sin t\), for \(0 \leqslant t \leqslant \pi\). Find the arc length of \(C\).
Find the area of the surface generated when \(C\) is rotated through \(2 \pi\) radians about the \(x\)-axis.