Question

Determine the equation of circle C. Radlus = 7 cm C(-3,6) Use (x-hy^2+(y-k)^2=h^2 (do r^2 as a number) don't use spaces - the carot key is shift 6 equation =

Answer 1

The equation of the circle with radius 7cm and center (-3, 6) is

x² + y² + 6x - 12y - 4 = 0

Step-by-step explanation

We are told to determine the equation of a circle using the formula,

[(x-h)^2 + (y-k)^2] = r^2

Note that the center of the circle is given as (h, k)

From the question,

Radius = 7 cm

Center of the circle = (-3, 6)

So,

r = 7

h = -3

k = 6

The equation is thus

[(x-h)^2 + (y-k)^2] = r^2

[(x-(-3))^2 + (y-6)^2] = 7^2

[(x+3)^2 + (y-6)^2] = 49

(x+3)² + (y-6)² = 49

x² + 6x + 9 + y² - 12y + 36 = 49

x² + y² + 6x - 12y + 45 - 49 = 0

x² + y² + 6x - 12y - 4 = 0

Hope this Helps!!!