Question

Given the circle with the equation x2 + y2 = 5, determine the location of each point with respect to the graph of the circle. In your final answer, state whether each point is on the interior, exterior, or circumference of the circle. Include your calculations as proof of each point’s location.
A. (-1, 1)
B. (-2, 1)
C. (4, -8)

Answer 1

for each point, take the first # inside the parentheses to be the x-coordinate and the second # to be the y-coordinate

for example, for point A: x = -1 and y = 1. plug them into x^2 + y^2 = 5. if x^2 + y^2 equals exactly 5, then its on the circle. if it's less than 5, it's inside the circle. if it's greater than 5, it's outside the circle.

repeat this logic for points B-C