Question

Write the standard form of the equation of the circle with the given characteristics. Center: (7, −8) ; Radius: square root 19

Answer 1

The standard form of the equation of a circle is:

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

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

Given the center (7, -8) and radius sqrt(19), we can substitute these values into the standard form to get:

(x - 7)^2 + (y + 8)^2 = 19

Therefore, the standard form of the equation of the circle is (x - 7)^2 + (y + 8)^2 = 19.