Question

Find the area of the circle \( x^2 + y^2 = a^2 \) surrounded by it.

Hint:

The area of a circle is calculated using \( A = \pi r^2 \), where \( r \) is the radius.

Answer 1

The equation of the circle is given by: \[ x^2 + y^2 = a^2. \] The area enclosed by a circle of radius \( a \) is given by: \[ A = \pi a^2. \]