Question

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

Hint:

The general equation of a circle is \( (x - h)^2 + (y - k)^2 = r^2 \), where \( (h,k) \) is the center and \( r \) is the radius.

Answer 1

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. \[ \text{Area} = \pi a^2 \]