The equation of the circle B with center B(4,−6) and radius 7 is[tex]\rm (x-4)^2+(y+6)^2=49[/tex], the corrcet option is B.
What is the equation of the circle?
A circle can be represented as;
[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]
Where h and k are the centers of the circle and r is the radius of the circle.
The equation of circle B with center B(4,−6) and radius 7.
Substitute all the values in the equation
[tex]\rm (x-h)^2+(y-k)^2=r^2\\\\\rm (x-4)^2+(y-(-6))^2=7^2\\\\\rm (x-4)^2+(y+6)^2=49[/tex]
Hence the equation of circle B with center B(4,−6) and radius 7 is[tex]\rm (x-4)^2+(y+6)^2=49[/tex], the correct option is B.
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