Question

Does the point (-3,2) lie inside, outside, or an a circle with center (4,0) and radius 5 units?

Answer 1

• The given point is outside of the circle

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Find the distance between the given point (-3, 2) and the center of circle (4, 0) using distance formula:

• 
  `d=√((x_2-x_1)^2+(y_2-y_1)^2)`

• 
  `d=√((4-(-3))^2+(0-2)^2) =√(7^2+(-2)^2) =√(49+4) > 7 > r=5`

As we see the distance is greater than radius, hence it is outside circle.