The equation of a circle in the standard form is given by:
(x – h)² + (y – k)² = r²
Here, (h, k) is the center of the circle and r is the radius. If the equation is written as:
x² + y² = r²
then the circle is centered at the origin (0, 0).
From your equation, it seems like there is a typographical error because you mentioned “x 52 y 32 42”. However, if we consider it as:
x² + y² = 42
we can identify that:
- r² = 42
- To find the radius (r), we take the square root of both sides:
- r = √42
Thus, the radius of the circle is approximately 6.48 units.