Determine the equation of the circle graphed below

(x + 3)² + (y - 4)² = 32

Step-by-step explanation:

Since we are given the coordinates of the centre and a point on the circle, we can use distance formula to find the radius.

r = √((1 - (-3))² + (8 - 4)²)

r = √(16 + 16)

r = √32

Now, formula for equation of a circle with centre (h, k) is;

(x - h)² + (y - k)² = r²

Our centre is (-3, 4) with r = √32

Thus;

(x - (-3))² + (y - 4)² = (√32)²

(x + 3)² + (y - 4)² = 32

5.6%

step-by-step explanation:

tangent

step-by-step explanation: