Question

Find the radius of a circle from the equation: $(x+2{)}^2+(y-7{)}^2=6^2$.

• A. $35$
• B. $36$
• C. $6$
• D. $-6$

Answer 1

The correct option is C $6$

Compare the equation with the standard form with center at $(h,k)$ and radius, $r$ is: $(x-h{)}^2+(y-k{)}^2=r^2$
$(x+2{)}^2+(y-7{)}^2=6^2$
So, $r^2=6^2$
Squaring on both the sides, we get
$r=6$