Inside Outside on the Circle

Prove or disprove that the point (3,4) lies on the circle centered at the origin and has a radius of 5.

• (3,4) lies on the circle

• (3,4) lies outside the circle

• (3,4) lies inside the circle

Prove or disprove that the point (8,-3) lies on the circle centered at (-4,3) and has a radius of 13.

• (8,-3) lies on the circle

• (8,-3) lies outside the circle

• (8,-3) lies inside the circle

Prove or disprove that the point (3,7) lies on the circle centered at the origin and has a radius of 8.

• (3,7) lies on the circle

• (3,7) lies outside the circle

• (3,7) lies inside the circle

Circle O has a center at (3,1) and a diameter of 10 units. Which point lies on circle O?

• (3,-4)

• (-3,-1)

• (5,1)

• (8,0)

The equation (x+3)²+(y-5)²=r² represents circle A. The point B(0,6) lies on the circle. What is r, the length of the radius of circle A?

• √13

• 2

• 10

• √10

Determine which point lies on the circle with equation x²+y²=49

• (√11,3)

• (0,-7)

• (-4, √13)

• (8,0)

What does the r in the standard equation stand for?

• r is the distance of the circle

• r is the radius of the circle

• r is the x coordinate of the center of the circle

• r is the y coordinate of the center of the circle

For what value of K is the point (K , 2K) on the circle with equation x² + y² = 5?

• K = √5

• K = -1

• K = 2

• K = 0

For what value of K is the point (K , -2) outside the circle with equation:
x² + y² = 9?

• K = 1

• K = 2

• K = 3

• K = -1

How do you determine if a point is outside the circle?

• See if value after substitution for (x, y) = r²

• See if value after substitution for (x, y) > r²

• See if value after substitution for (x, y) < r²