Question

The center of circle P is at (-2, 3) and the radius of circle P is √34 units.

Which point is on the circle?

Answer 1

bearing in mind that the distance from the center, to a point on the circle, is the radius unit.


`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})}\qquad (\stackrel{x_2}{-7}~,~\stackrel{y_2}{6})\qquad \qquad % distance value d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ \stackrel{radius}{r}=√([-7-(-2)]^2+[6-3]^2) \implies r=√((-7+2)^2+(6-3)^2) \\\\\\ r=√((-5)^2+3^2)\implies r=√(25+9)\implies r=√(34)`