Equation of a Circle

Question 1

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

Revolt · Accepted Answer

✔ x + 6; ()² + ()² =: x + 6; ()² + ()² =: y – 4; ()² + ()² =: 36

Question 2

y – 6✔ y – 4X y + 4y + 6

Revolt · Accepted Answer

✔ y – 4

Question 3

69X 12✔ 36

Revolt · Accepted Answer

✔ 36

Question 4

The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle?

Revolt · Accepted Answer

5; Identify the radius from the graph. r = units: 5; Determine the distance from the center to (–3, –4) using the distance formula. distance = units: 5; Compare the radius to the distance. Does the point (–3, –4) also lie on the circle?: yes

Question 5

The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle?

Revolt · Accepted Answer

5

Question 6

The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle?

Revolt · Accepted Answer

yes

Question 7

What is the standard form of the equation of a circle given by x2 + y2 – 18x + 8y + 5 = 0?

Revolt · Accepted Answer

()² + ()² =: x – 9; ()² + ()² =: y + 4; ()² + ()² =: 92

Question 8

What is the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1)?

Revolt · Accepted Answer

(x + 4)² + y² = 5

Question 9

What is the standard form of the equation of a circle given by x2 + y2 – 18x + 8y + 5 = 0?

Revolt · Accepted Answer

✔ x – 9; ()² + ()² =: x – 9; ()² + ()² =: y + 4; ()² + ()² =: 92

Question 10

X y – 9y – 4✔ y + 4y + 16

Revolt · Accepted Answer

✔ y + 4

Equation of a Circle Answers

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