Question

if the centre of the circle are (0,0) and the co ordinates of a point on the circumference are (5,-12) then the length of the circle is​

Answer 1

equation of circle , centre (0,0) and radius r, is

${x}^{2} + {y}^{2} = {r}^{2}$

co-ordinates are (5,-12)

X=5

y=-12

put the value of X and Y in formula

${x}^{2} + {y}^{2} = {r }^{2} \\ {5}^{2} + ( { - 12}^{2} ) = {r}^{2} \\ 25 + 144 = {r }^{2} \\ 169 = {r}^{2} \\ \sqrt{169 } = r \\ {13}^{2} = r$

hope it will help you