Given parameters;
The radius of a circle is increased by a factor of x;
let the radius of the circle = r;
The increased radius = rx
Area of a circle is given as πr²;
Initially, the area of the circle = πr²
where r is the radius
New area after the increase = π x (rx)² = πr²x²
To compare the factor with which the area increased;
Factor = [tex]\frac{New area}{original area}[/tex] = πr²x² / πr² = x²
The area increased by a factor of x²
