Question

A circle is centered at (-6,3) and has a radius of 11. Where does the point (3,-3) lie?

Answer 1

Inside the circle

Explanation:

Use the distance formula to find the distance between the center and the point.

d = √((x₁ − x₂)² + (y₁ − y₂)²)

d = √((-6 − 3)² + (3 − (-3))²)

d = √((-9)² + (6)²)

d = √(81 + 36)

d = √117

d ≈ 10.817

This is less than the radius of 11, so the point is inside the circle.