Answer:
The center is ( 4 , 7)
The radius is 7
Step-by-step explanation:
First expand the equation
That's
( x - 4)² + ( y - 7)² = 49
x² - 8x + 16 + y² - 14y + 49 - 49 = 0
x² + y² - 8x - 14y + 16 = 0
Comparing with the general equation of a circle
x² + y² + 2gx + 2fy + c = 0
2g = - 8 2f = - 14
g = - 4 f = - 7 c = 16
Center of a circle is ( - g , - f)
( --4 , --7)
Which is ( 4 , 7)
The radius of the circle is given by
r = √g² + f² - c
Where r is the radius
r = √ (-4)² + (-7)² - 16
= √16 + 49 - 16
= √49
= 7
Hope this helps you
