Q:

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

Accepted Solution

A:
Answer:The equation of the circle is (x + 3)² + (y + 5)² = 36Step-by-step explanation:* Lets revise the standard form of the equation of the circle - The center-radius form of the circle equation is in the format     (x – h)² + (y – k)² = r², where the center is the point (h, k) and     the radius is r.  - This form of the equation is helpful, because you can easily find     the center and the radius. * Now lets solve the problem ∵ The center of the circle is (-3 , -5)∵ The center of the circle in the equation is (h , k)∴ h = -3 ∴ k = -5∴ The equation of the circle is (x - -3)² + (y - -5)² = r²∴ The equation is (x + 3)² + (y + 5)² = r²* Now lets find the value of r²∵ The length of the radius of the circle is 6 units∴ r = 6∴ r² = (6)² = 36∴ The equation of the circle is (x + 3)² + (y + 5)² = 36