Question

The equation of circle with centre $(1,1)$ and radius 4 is given by ________ .

• A. $(x-4{)}^2+(y-4{)}^2=1$
• B. $(x-1{)}^2+(y-1{)}^2=16$
• C. $(x+1{)}^2+(y+1{)}^2=4$
• D. $(x-1{)}^2+(y-1{)}^2=-16$

Answer 1

The correct option is B $(x-1{)}^2+(y-1{)}^2=16$


The centre of the circle is O$(1,1)$ and radius is 4 units.

General equation of a circle is given by $(x-h{)}^2+(x-k{)}^2=r^{2}Here,(h,k)=(1,1)andr=4$
$\therefore$The equation of circle is $(x-1{)}^2+(y-1{)}^2=4^2(x-1{)}^2+(y-1{)}^2=16$