Determine the equation of the circle graphed below.

Answer:
(x + 5)² + (y - 1)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 5, 1) and r = 2, then
(x - (- 5))² + (y - 1)² = 2² , that is
(x + 5)² + (y - 1)² = 4
Answer:
Step-by-step explanation:
hello :
hello:
note : an equatin for the circle is : (x-a)²+(y-b)²=r²
when the center is the point : C(a , b) and the radius r
use this graph : given two points in this circle A(-3,1) and B(-7,1)
1) AB/2 = r = 4/2 = 2
2) the midipoint for the segment AB is the center C
a = (-3-7)/2 and b = (1+1)/2
a= -5 and b= 1 so : C(-5 , 1)
an equation is : (x+5)²+(y-1)²=2²