Question

Write the equation of a circle whose center is (-2, 0) and has the point (-5,-6) on its circumference.

Answer 1

`(x + 2)^(2) + y^(2) = 45`

Explanation:

The radius (r) of the circle is the distance between (-2, 0) and (-5, -6)

r =
`\sqrt{(-2 + 5)^(2) + (0 + 6)^(2) } = \sqrt{3^(2) + 6^(2) } = √(9 + 36) = √(45)`

`r^(2)` = 45

`(x + 2)^(2) + y^(2) = 45` is the equation of the circle

Answer 2

(x+2)^2 + y = √45 ^2

Explanation:

this should be right