Question

Give the equation for a circle with the given center and radius. center at (-1, 3), radius = 4

Answer 1

Answer:

(x+1)^2 + (y-3)^2 = 16

Step-by-step explanation:

The standard form of an equation of a circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.  Plugging in those values, we get (x-(-1))^2 + (y-3)^2= 4^2  = (x+1)^2 + (y-3)^2 = 16.

Answer 2

Answer:

(x + 1)² + (y - 3)² = 16

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 is the radius

here (h, k ) = (- 1, 3 ) and r = 4 , then

(x - (- 1) )² + (y - 3)² = 4² , that is

(x + 1)² + (y - 3)² = 16