Final answer:
To determine if point A is contained within the circle, calculate the distance between the center and point A, and compare it with the radius.
Step-by-step explanation:
In this question, you are given a circle with center O(4,5) and a point A(7,9) inside the circle. To determine whether point A is contained within the circle, you need to calculate the distance between the center of the circle and point A and compare it with the radius of the circle.
Step 1: Calculate the distance using the distance formula: √((x2 - x1)² + (y2 - y1)²)
Step 2: Compare the calculated distance with the radius of the circle. If the distance is less than or equal to the radius, then point A is contained within the circle; otherwise, it is outside.