The diagram shows the curves ${{C}_{1}}:{{x}^{2}}+{{y}^{2}}=4$ and \({{C}_{2}}:\frac{{{x}^{2}}}{9}

Question

The diagram shows the curves ${{C}_{1}}:{{x}^{2}}+{{y}^{2}}=4$ and ${{C}_{2}}:\frac{{{x}^{2}}}{9}+{{y}^{2}}=1$. Find the area of the shaded regions.

Accepted Answer

$5.36 units^2$

Worked Example 2