Quiz about Equations of a Circle Find Center and Radius

Question 1

What is the equation of the circle?

Accepted Answer

(x+1)² + (y +1)² = 9

Answer

(x+1)² + (y +1)² = 3

Answer

(x+1)² + (y -1)² = 3

Answer

(x-1)² + (y -1)² = 9

Question 2

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

Accepted Answer

(x + 5)²+ (y - 2)²= 36

Answer

(x - 2)²+ (y + 5)²= 36

Answer

(x - 5)² + (y + 2)² = 6

Answer

(x + 2)²+ (y - 5)²= 6

Question 3

A circle has the equation x² + y² - 12x + 8y + 3 = 0. Write the equation in standard form.

Accepted Answer

(x - 6)² + (y + 4)² = 49

Answer

(x + 4)² + (y - 6)² = 49

Answer

(x - 6)² + (y + 4)² = 55

Answer

x² + y² = 55

Question 4

The equation of a circle is x²+ y²+ 6x - 12y + 20 = 0. Write the equation in standard form.

Accepted Answer

(x + 3)² + (y - 6)² = 25

Answer

(x - 3)² + (y + 6)² = 25

Answer

(x - 3)² + (y + 6)² = 45

Answer

(x + 3)² + (y - 6)² = 5

Question 5

A circle has the equation x² + y² + 10x - 4y + 20 = 0. Write it in standard form.

Accepted Answer

(x + 5)² + (y - 2)² = 9

Answer

(x - 5)² + (y + 2)² = 9

Answer

(x + 5)² + (y - 2)² = 3

Answer

(x - 5)² + (y + 2)² = 3

Question 6

A circle has the equation x² + y² - 8x + 6y - 11 = 0. Write it in standard form.

Accepted Answer

(x - 4)² + (y + 3)² = 36

Answer

(x - 4)² + (y + 3)² = 6

Answer

(x + 4)² + (y - 3)² = 36

Answer

(x + 4)² + (y - 3)² = 6

Question 7

A circle has the equation x² + y² + 8x - 20 = 0. Write the equation in standard form.

Accepted Answer

(x + 4)² + y² = 36

Answer

(x + 4)² + y² = 6

Answer

(x - 4)² + y² = 6

Answer

(x - 4)² + y² = 36

Question 8

A circle has the equation x² + y² - 6y - 5 = 0. Write the equation in standard form.

Accepted Answer

x² + (y - 3)² = 14

Answer

x² + (y + 3)² = 7

Answer

x² + (y - 3)² = 7

Answer

x² + (y + 3)² = 14

Question 9

What is the center and the radius of the circle with equation, (x-4)² + (y-2)² = 25

Accepted Answer

Center is (4, 2) and radius is 5

Answer

Center is (5,2) and radius is 4.

Answer

Center is (2,5) and radius is 4

Answer

Center is (2,4) and radius is 5

Question 10

What is the center and radius of a circle with the equation, (x-1)² + (y-3)² = 4

Accepted Answer

Center is (1,3) and radius is 2

Answer

Center is (3,1) and radius is 2

Answer

Center is (3,2) and radius is 1

Answer

Center is (2,3) and radius is 1

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