The equation of a circle centered at the origin (0, 0) can be expressed using the formula:
- (x – h)² + (y – k)² = r²
In this formula, (h, k) represents the coordinates of the center of the circle, and r represents the radius. Since the center of our circle is at the origin, we have:
- h = 0
- k = 0
- r = 16
Substituting these values into the equation gives us:
- (x – 0)² + (y – 0)² = 16²
- Which simplifies to:
- x² + y² = 256
Therefore, the equation of the circle whose center is at the origin and whose radius is 16 is:
- x² + y² = 256