Question

Find the equation of centre 4 - 6 radius 4 cm

Answer 1

Answer:

x² + y² - 8x - 12y + 36 = 0

Step-by-step explanation:

centre = (4,6) = (-g,-f)

radius = 4 cm = √g²+f²-c = √16 + 36 - c = √52-c

∴ 52 - c = 16

or,    c    =  52 - 16

or,    c    =  36

∴ the equation of the circle is ;

              x² + y² + 2gx  + 2fy + c = 0

          or,  x² + y² - 8x - 12y + 36 = 0