Answer:
(x-9)²+(y-5)²=64
Step-by-step explanation:
Centre is (9,5) and radius is 16*pi/2*pi=8. Plug it in the equation of circles
216x-6x=1
210x=1
x= 1/210
x= 0.00476
If it is perpendicular to the line 14x-7y=4, then we know our line has the opposite and inverse slope of that line. Solving for y of the first line, we get y=2x-(4/7). All we care about is the coefficient of the x term, because that will give us our slope. The slope of the first line is 2, so the slope of out line is the opposite and inverse of that slope, which -(1/2).
Plugging into our slope- point formula, where y1=(-9), x1=2, and m=(-1/2), then:
y-(-9)=(-1/2)(x-2)
y+9=(-1/2)x+1
y=(-1/2)x-8
Hope this helps!