Question

find the centre and radius of the circle x² + y² - 8x - 16y + 75 = 0​

Answer 1

Answer:

Given Equation can be Converted to Standard Equation of Circle as follows

(x2+8x+16)+(y2+10y+25)=8+25+16⇒(x+4)2+(y+5)2=72..........(1)

and Standard equation of Circle is : (x+f)2+(y+g)2=r2.........(2)

where, r = radius of Circle

            (−f,−g) is the center

Comparing (1) and (2)

center:(−4,−5)

radius:7