Question

Does it lie inside, outside, or on the circle?​

Answer 1

Answer:

Given circle:

• (x - 4)² + y² = 25

The center is at (4, 0) and the radius is 5 units

Lets find the distance from (7, 2) to the center of the circle:

• $d = \sqrt{(7 - 4)^2 + (2 - 0)^2} = \sqrt{9+4} = \sqrt{13} < 5$

Since d < 5, the point (7, 2) lies inside the circle