Question

Find the center of the circle that you can circumscribe about ABC A=(-1,-2) B=(-5,-2) C=(-1,-7)

Answer 1

Answer:

O : (-3,-4.5)

Step-by-step explanation:

center of circle: O (x.y)

Radius (r) = OA = OB = OC

r² = (x - (-1))² + (y - (-2))² ---- OA²  

r² = (x - (-5))² + (y - (-2))² ---- OB²

r² = (x - (-1))² + (y - (-7))² ---- OC²

OA²=OB² : (x - (-1))² + (y - (-2))² =  (x - (-5))² + (y - (-2))²

(x+1)² - (x+5)² = 0       x²+2x+1-x²-10x-25 = 0

8x = -24

x = -3

OA² = OC²   (x - (-1))² + (y - (-2))² = (x - (-1))² + (y - (-7))²

y²+4y+4 = y² +14y +49

10y = -45

y = - 4.5

O : (-3,-4.5)