In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 2) lies inside the circle and the point (5, -3) lies outside the circle. If the radius r of the circle r is an integer then r=  Select:
A) 6  B) 5  C) 4  D) 3  E) 2
Can be solved without much calculations.   You are given that (-2,-3) is the center of the circle. Point (5,-3) lies inside the circle ---&gt; the radius is lesser than distance of (-2,-3) from (5,-3) ---&gt; lesser than 7 units but the radius will also be greater than the distance of (-2,-3) from (-2,2) ----&gt; greater than 5 units.   Thus the radius is &gt;5 but &lt;7and as it is an integer, the only possible value of radius = 6 units.   6 is the correct answer.
<result>A</result>
In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 2) lies inside the circle and the point (5, -3) lies outside the circle. If the radius r of the circle r is an integer then r=