In the diagram above, the shaded region is bounded by the curve ${{\left( x-3 \right)}^{2}}+{{\left(

Question

In the diagram above, the shaded region is bounded by the curve ${{\left( x-3 \right)}^{2}}+{{\left( y-2 \right)}^{2}}=2$ and the line $y=5-x$. Find the exact area of the shaded region without using integration. [2] Find the volume generated when the shaded region is rotated $2\pi $ radians about the $y$-axis. [5]

Accepted Answer

$67.6 \text{ units}^3$

2021 JPJC JC2 MYE P2 Q5 [Modified]

2021 JPJC JC2 MYE P2 Q5 [Modified]

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