Answer:
The radius of the circle is 5 units
(-7,-1) and (-7,5) lies on the circle
Step-by-step explanation:
A circle is centered at the point (-3, 2) and passes through the point (1, 5).
Center of the circle is given as (-3,2)
Use center radius form of the circle equation
(x-h)^2 + (y-k)^2 = r^2
(h,k) is the center and r is the radius
h= -3 and k = 2, point (x,y) is (1,5)
[tex](1+3)^2+(5-2)^2= r^2[/tex]
16+9 = r^2
25= r^2 so radius r= 5
The radius of the circle is 5 units
equation of circle is (x+3)^2 + (y-2)^2 = 25
To find out the point we plug in -7 for x
(-7+3)^2 + (y-2)^2 = 25
16 + (y-2)^2 = 25
Subract 16 from both sides
+ (y-2)^2 = 9
take square root on both sides
y-2=+-3
y= +3+2= 5
y= -3+2= -1
So (-7,-1) and (-7,5) lies on the circle
