Step 1: Identify radius from equation. The given equation represents a circle with center at \( (0,0) \) and radius \( a \).
Step 2: Use area formula. \[ \text{Area} = \pi a^2 \]
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]