Quiz about Equations of Circles (CTS)

Question 1

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 2

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

Accepted Answer

x2+y2=9

Answer

x2+y2=4

Answer

x2+y2=81

Question 3

What is the equation of a circle with radius 4 and center (0, 8)?

Accepted Answer

x² + (y-8)² = 16

Answer

(x-8)² + y² = 4

Answer

x² + (y-8)² = 4

Answer

x² + (y+8)² = 16

Question 4

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 5

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

Accepted Answer

Center (4,3)
Radius = 5 units

Answer

Center (4,3)
Radius = 25 units

Answer

Center (-4,-3)
Radius = 25 units

Answer

Center (-4,-3)
Radius = 5 units

Question 6

What is the center of the circle with equation x² + y² = 1?

Accepted Answer

(0, 0)

Answer

(1, 1)

Answer

not enough information

Question 7

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

Accepted Answer

(3,2)

Answer

(-3, -2)

Answer

(-2, -3)

Answer

(2, 3)

Question 8

Question 8.

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 9

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

Question 10

What does (h,k) standard for in the standard circle equation?

Accepted Answer

(h,k) is the center of the circle

Answer

(h,k) is a point on the circle.

Answer

(h,k) is a point that we guess and find

Answer

(h,k) is the distance of the circle

Question 11

What does the r in the standard equation stand for?

Accepted Answer

r is the radius of the circle

Answer

r is the distance of the circle

Answer

r is the x coordinate of the center of the circle

Answer

r is the y coordinate of the center of the circle

Question 12

Which equation matches the circle on the graph?

Accepted Answer

(x-2)²+(y+3)²=9

Answer

(x-2)²+(y+3)²=81

Answer

(x+3)²+(y-2)²=9

Answer

(x+3)²+(y-2)²=3

Question 13

Which equation matches the circle on the graph?

Accepted Answer

(x-3)²+(y-4)²=16

Answer

(x-5)²+(y-2)²=20

Answer

(x+3)²+(y+4)²=16

Answer

(x-9)²+(y-16)²=32

Question 14

Change the following equation to standard form
x²+y²-4x+12y-8=0

Accepted Answer

(x-2)²+(y+6)²=48

Answer

(x+2)²+(y-6)²=48

Answer

(x-6)²+(y-2)²=48

Answer

(x+2)²+(y-6)²=48

Question 15

Find the center and radius of the circle: 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 16

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 17

Question 17.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Equations of Circles (CTS)

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