What is the standard equation for a circle with center (10, 6) and radius 6?

The standard equation of a circle can be expressed as:

(x – h)² + (y – k)² = r²

In this equation, (h, k) represents the coordinates of the center of the circle, and r is the radius.

For a circle with center at (10, 6) and radius 6, we can substitute these values into the equation:

• h = 10
• k = 6
• r = 6

Now, substituting into the standard equation:

(x – 10)² + (y – 6)² = 6²

This simplifies to:

(x – 10)² + (y – 6)² = 36

So, the standard equation for the circle centered at (10, 6) with a radius of 6 is:

(x – 10)² + (y – 6)² = 36