Final answer:
To determine if point A(5,1) is inside a circle with center O(2,5), we need to calculate the distance between the two points and compare it to the radius of the circle.
Step-by-step explanation:
In order to determine if point A(5,1) is inside a circle with center O(2,5), we need to calculate the distance between the two points. The distance formula is given by:
√((x2-x1)^2 + (y2-y1)^2)
Substituting the values, we get:
√((5-2)^2 + (1-5)^2) = √(9+16) = √25 = 5
Since the distance between A and O is 5, which is exactly the same as the radius of the circle, we can conclude that the point A is on the circumference of the circle.