Question

Which equation represents a circle with a center at (-3,-5) and a radius of 6 units?

a) (х – 3)² + (у – 5)² = 6
b) (х – 3)² + (у – 5)² = 36
c) (х+3)² + (у + 5)² = 6
d) (х + 3)² + (у + 5)² = 36

Answer 1

The equation that represents a circle with a center at (-3,-5) and a radius of 6 units is b) (х – 3)² + (у – 5)² = 36.

Step-by-step explanation:

The equation that represents a circle with a center at (-3,-5) and a radius of 6 units is option b) (х – 3)² + (у – 5)² = 36.

Here's the step-by-step explanation:

1. The equation of a circle with center (h, k) and radius r is given by:
2. (x - h)² + (y - k)² = r²
3. In this case, the center of the circle is (-3, -5) and the radius is 6 units.
4. Substituting the values into the equation, we have (x - (-3))² + (y - (-5))² = 6².
5. Simplifying further, we get (x + 3)² + (y + 5)² = 36.