Question

Find the radius of this circle.

Answer 1

Check the picture below.

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{4})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ \stackrel{ radius }{r}=√((~~-5 - (-6)~~)^2 + (~~4 - 3~~)^2)\implies r=√((-5 +6)^2 + (4 -3)^2) \\\\\\ r=√( (1)^2 + (1)^2) \implies r=√( 1 + 1)\implies r=√( 2 )`