Question

Write the equation of the circle that has a center of (-7, 17) with a radius of V19.

Answer 1

I think your question seems to be :-

Write the equation of the circle that has a center of (-7, 17) with a radius of √19

So , as we know that the equation of circle with centre at (h,k) and radius r is given by ${\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}$ . Now , using same concept in this question ;

${:\implies \quad \sf \{x-(-7)\}^{2}+(y-17)^{2}=(\sqrt{19})^{2}}$

${:\implies \quad \bf \therefore \quad \underline{\underline{(x+7)^{2}+(y-17)^{2}=19}}}$

This is the required equation of Circle