Question

A circle in the xy-plane has equation (x+3)^ 2 +(y-1)^ 2 =25. Which of the following points does NOT lie in the interior of the circle?​

Answer 1

The distance between (3, 2) and (-3, 1) is:

√(-3 - 3)2 + (1 - 2)2

= √(-6)2 + (-1)2

= √37, which is greater than 5. Therefore, (3, 2) does NOT lie in the interior of the circle

Ans D

Answer 2

Answer:

For a point to be inside of the circle, the distance from that point to the center must be less than the radius, 5.

The distance between (3, 2) and (-3, 1) is:

√(-3 - 3)2 + (1 - 2)2 

= √(-6)2 + (-1)2

= √37, which is greater than 5. Therefore, (3, 2) does NOT lie in the interior of the circle