Equation of a Circle

Question 1

The equation of a circle is x2 + (y – 10)2 = 16. The radius of the circle is units. The center of the circle is at .

Revolt · Accepted Answer

A: 4

Question 2

Which equation represents a circle with a center at (2, –8) and a radius of 11?

Revolt · Accepted Answer

B: (x – 2)² + (y + 8)² = 121

Question 3

Concentric circles are circles with the same center but different radii. Which equations represent concentric circles along with the circle shown in the graph? Check all that apply.

Revolt · Accepted Answer

B: (x – 8)² + (y – 9)² = 3; C: (x – 8)² + (y – 9)² = 14

Question 4

What is the equation of the circle shown in the graph?

Revolt · Accepted Answer

C: x² + (y + 3)² = 4

Question 5

A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle? Check all that apply.(x – 12)2 + y2 = 12(x – 6)² + y² = 36x² + y² = 12x² + y² = 144(x + 6)² + y² = 36(x + 12)² + y² = 144

Revolt · Accepted Answer

B: (x – 6)² + y² = 36; E: (x + 6)² + y² = 36

Question 6

What are the lengths of the sides of the right triangle that is formed? Check all that apply.

Revolt · Accepted Answer

D: x – h; G: y – k

Question 7

A circle centered at the origin contains the point (0, –9). Does (8, ) also lie on the circle? Explain.

Revolt · Accepted Answer

C: Yes, the distance from the origin to the point (8, ) is 9 units.

Question 8

Consider a circle whose equation is x2 + y2 + 4x – 6y – 36 = 0. Which statements are true? Check all that apply.

Revolt · Accepted Answer

B: To complete the square for the x terms, add 4 to both sides.; C: The center of the circle is at (–2, 3).

Question 9

Question 9

Revolt · Accepted Answer

117504

Question 10

Is Amit’s work correct?

Revolt · Accepted Answer

C: No, he did not calculate the distance correctly.

Equation of a Circle Answers

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