Acircle has a diameter with endpoints (-8, 2) and (-2, 6). what is the equation of the circle? r2 = (x - 3)2 + (y + 4)2 r2 = (x - 5)2 + (y + 4)2 r2 = (x + 5)2 + (y - 4)2 r2 = (x + 3)2 + (y - 4)2

Step-by-step explanation:

we know that

The equation of the circle into center-radius form is equal to

where

(h,k) is the center of the circle

r is the radius of the circle

Step 1

we have

Find the center of the circle

The center of the circle is the midpoint between point A and point B

The formula to calculate the midpoint is equal to

substitute the values

the equation of the circle is equal to

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step-by-step explanation: