Answer:
(x + 9.3)² + (y - 4.1)² = 13
which can be further simplified to;
x² + y² + 9.3x - 4.1 y + 90.3 = 0
Step-by-step explanation:
using the standard equation of a circle
(x-a)² + (y-b)² = r²
where (a,b) is the center of the circle and r is the radius of the circle
From the question, the circle is cemtered at (-9.3, 4.1) and the radius is √13
We can now proceed to formth equation of the circle
(x + 9.3)² + (y - 4.1)² =(√13)²
(x + 9.3)² + (y - 4.1)² = 13
We can further simplify it,
x² + 9.3x + 86.49 + y² - 4.1y + 16.81 =13
x² + y² + 9.3x - 4.1 y + 103.3 = 13
x² + y² + 9.3x - 4.1 y + 103.3 - 13 = 0
x² + y² + 9.3x - 4.1 y + 90.3 = 0