Answer:
r^2 = 233
Step-by-step explanation:
We are provided with a center
and a x - intercept
Center - ( 6 , -8)
Point - ( -7 , 0)
The formula of a circle
( x - a) ^2 + ( y - b) ^2 = r^2
(x, y) - point
(a, b) - center
r^2 - radius
( a, b) = (6 , -8)
a - 6
b - -8
Insert the center into
( x - 6)^2 + ( y -(-8)^2 = r^2
( x - 6)^2 + ( y + 8)^2 = r^2
Insert the point
( x, y) = ( -7 , 0)
x - -7
y - 0
( x - 6)^2 + ( y + 8)^2 = r^2
( -7 - 6)^2 + ( 0 + 8)^2 = r^2
( -13)^2 + ( 8)^2 = r^2
169 + 64 = r^2
233 = r^2
The radius of the circle is
r^2 = 233
