# DETERMINE IF A POINT LIES INSIDE OR OUTSIDE OF A CIRCLE WORKSHEET

Problem 1 :

Determine whether the points (2, 1), (7, -3) and (3, -4) lie within, out with or on the circumference of the circle.

Solution

Problem 2 :

State : “ Yes” or “ No”. Does the point (-3, 45) lie on the circle centered at

(-6, -5), and containing the point (15, -35)?

Solution

Problem 3 :

State : “ Yes” or “ No”. Does the point (5, -28) lie on the circle centered at

(-2, -4), and containing the point (-9, 20)?

Solution

Problem 4 :

State : “ Yes” or “ No”. Does the point (3, 7) lie on the circle centered at

(2, 2), and containing the point (6, 3)?

Solution

Problem 5 :

State : “ Yes” or “ No”. Does the point (-6, -52) lie on the circle centered at

(-5, -8), and containing the point (16, 68)?

Solution

Problem 6 :

State : “ Yes” or “ No”. Does the point (-4, -1) lie on the circle centered at

(3, 5), and containing the point (7, 2)?

Solution

1)  The point (2, 1) lies outside the circle.

The point (7, -3) lies on the circle.

The point (3, -4) lies inside the circle.

2) The (-3, 45) point lies outside the circle

3)  The point (5, -28) lies on the circle.

4)  The point (3, 7) lies outside the circle.

5)  The point lies (-6, -52) inside the circle.

6)  The point (-4, -1) lies outside the circle.

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