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Find the equation of a circle with centre (-3, -8) and radiu...

Find the equation of a circle with centre (-3, -8) and radius 46

A.

x2y26x+16y+23=0

B.

x2+y2+6x+16y23=0

C.

x2+y2+6x16y+23=0

D.

x2+y26x+16y+23=0

Correct answer is B

Equation of a circle: (xa)2+(yb)2=r2

where (a, b) and r are the coordinates of the centre and radius respectively.

Given : (a,b)=(3,8);r=46

(x(3))2+(y(8))2=(46)2

x2+6x+9+y2+16y+64=96

x2+y2+6x+16y+9+6496=0

x2+y2+6x+16y23=0