How do you write an equation of a circle with center (6,-9) and diameter = 2sqrt7?

1 Answer
Jan 29, 2016

( x - 6 )^2 + (y+9)^2 = 7(x6)2+(y+9)2=7

Explanation:

The standard form of the equation of a circle is :

(x - a )^2 + (y - b )^2 = r^2(xa)2+(yb)2=r2

where ( a , b ) is the centre and r , the radius.

The data required to complete the equation is given in this

question , centre (6 , - 9 ) and r = sqrt7 7

hence equation is : ( x - 6 )^2 + (y + 9 )^2 = (sqrt7)^2(x6)2+(y+9)2=(7)2