Quiz about Equation of Circle Standard Form and Complete the Square

Question 1

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

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 2

Complete the square to determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

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 3

A circle has the equation $$x^2+y^2-12x+8y=-3$$ Use completing the square to 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

A circle has the equation x² + y² - 12x + 8y + 3 = 0. Use completing the square to 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 5

What is the equation of the circle with the given information?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 6

Write 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 7

Question 7.

Accepted Answer

$$x^2+y^2+6x-2y+1=0$$

Answer

$$x^2+y^2-6x+2y+7=0$$

Answer

$$x^2+y^2-6x+2y+1=0$$

Answer

$$x^2+y^2+6x-2y+7=0$$

Question 8

Determine the center and radius: x²+ y²+ 14x - 2y = -1

Accepted Answer

center= (-7,1) radius= 7

Answer

center= (-7,2) radius= 3

Answer

center= (-4,1) radius= 5

Question 9

Determine the center and radius:
x²+ y²- 10x + 8y -8 = 0

Accepted Answer

C = (5,-4) r = 7

Answer

C = (-5,4) r = 7

Answer

C = (-4,5) r = 49

Answer

C = (5,-4) r = 49

Question 10

Determine the equation of a circle with center (5,-3) and radius of 9

Accepted Answer

x²+y²-10x+6y-47=0

Answer

x²+y²-10x+6y-47=4

Answer

x²+y²-10x-6y-47=0

Answer

2x²+y²+10x+6y-47=0

Question 11

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

Accepted Answer

(4, 3)

Answer

(-3, -4)

Answer

(-4, -3)

Answer

(3, 4)

Question 12

What is the equation of the circle?

Accepted Answer

$$x^2+y^2+2x+2y-7=0$$

Answer

$$x^2+y^2+2x+2y-1=0$$

Answer

$$x^2+y^2+2x-2y-1=0$$

Answer

$$x^2+y^2-2x-2y-7=0$$

Question 13

Which graph corresponds to (x+2)²+ (y-3)²=36

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 14

In the equation (x+2)²+(y+3)²=49, the radius of the circle is...

Accepted Answer

7

Answer

14

Answer

98

Answer

49

Question 15

Write the equation of a circle with center (7, 0) with radius 3.

Accepted Answer

(x - 7)² + y² = 9

Answer

x² + (y -7)² = 9

Answer

(x - 7)² + y² = 3

Answer

x² + (y -7)² = 3

Question 16

Determine the best answer: In order to convert from general form to standard form, you must ___________.

Accepted Answer

complete the square

Answer

Multiply out

Answer

expand

Answer

factor

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