Answer:
(x+1)²+(y-2)² = 25
Step-by-step explanation:
Standard equation of the circle is expressed as;
(x-a)²+(y-b)² = r²
(a,b) is the center of the circle
r is the radius
Get the radius
r = √(x2-x1)²+(y2-y1)²
r = √(2+1)²+(6-2)²
r = √3²+4²
r = √9+16
r = √25
r = 5
Substitute into the formula
(x-a)²+(y-b)² = r²
a = -1, b = 2, r = 5
(x-(-1))²+(y-2)² = 5²
(x+1)²+(y-2)² = 25
This gives the required equation
