Final answer:
To determine which of the given points will not be inside the circle when the radius is tripled, we need to consider the equation of the circle and check if the coordinates of each point satisfy the equation.
Step-by-step explanation:
To determine which of the given points will not be inside the circle when the radius is tripled, we need to consider the equation of the circle. The equation of a circle with radius r and center at the origin is given by the equation x^2 + y^2 = r^2. When the radius is tripled, the equation becomes x^2 + y^2 = (3r)^2 = 9r^2.
Now let's check the coordinates of the given points. If the point satisfies the equation x^2 + y^2 <= 9r^2, then it will be inside the circle. Otherwise, it will be outside.
By substituting the coordinates of each point into the equation, we can determine which point will not be inside the circle.