What is the equation of the circle, with centre (-2,-7) and radius 3 units?

(x + 2) ² + (y + 7) ² = 9

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 the radius

Here (h, k) = ( - 2, - 7) and r = 3, thus

(x - ( - 2)) ² + (y - ( - 7)) ² = 3², that is

(x + 2) ² + (y + 7) ² = 9

(x+2) ^2 + (y+7) ^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k) ^2 = r^2

where (h, k) is the center and r is the radius

Substituting into this equation

(x--2) ^2 + (y--7) ^2 = 3^2

(x+2) ^2 + (y+7) ^2 = 3^2

(x+2) ^2 + (y+7) ^2 = 9