Question

Whats the equation for this​

Answer 1

`x^2 + y^2 + 4x + 4y = -119/16`

Explanation:

The axes x and y are calibrated in 0.25

If the circle is carefully considered, the radius r of the circle is:

r = -1.25 - (-2)

r = 0.75 units

The equation of a circle is given by:

`(x - a)^2 + (y - b)^2 = r^2`

The center of the circle (a, b) = (-2, -2)

Substituting (a, b) = (-2, -2) and r = 0.75 into the given equation:

`(x - (-2))^2 + (y - (-2))^2 = (3/4)^2\\\\(x + 2)^2 + (y + 2)^2 = (3/4)^2\\\\x^2 + 4x + 4 + y^2 + 4y + 4 = 9/16\\\\x^2 + y^2 + 4x + 4y + 8 = 9/16\\\\16x^2 + 16y^2 + 64x + 64y + 128 = 9\\\\16x^2 + 16y^2 + 64x + 64y = -119\\\\x^2 + y^2 + 4x + 4y = -119/16\\`