Answer:
(x + 5)² + (y + 5)² = 10²
Step-by-step explanation:
The line drawn from the centre of a circle to any point on the circumference is called a radius.
Therefore, the radius =
[tex] \sqrt{ {(3 - ( - 5))}^{2} + {(1 - ( - 5))}^{2} } [/tex]
[tex] = \sqrt{ {(3 + 5)}^{2} + {(1 + 5)}^{2} } [/tex]
[tex] = \sqrt{ {8}^{2} + {6}^{2} } [/tex]
[tex] = \sqrt{64 + 36} [/tex]
[tex] = \sqrt{100} [/tex]
r = 10
General equation of a circle:
(x - a)² + (y - b)² = r², where (a,b) is the coordinate of the centre.
Since (-5, -5) is the centre,
(x - (-5))² + (y - (-5))² = 10²
(x + 5)² + (y + 5)² = 10²
