Quiz about Equations of Circles

Question 1

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 2

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

Accepted Answer

2

Answer

4

Answer

3

Answer

16

Question 3

In the equation (x-4)²+(y-3)²=25, the radius is

Accepted Answer

5

Answer

4

Answer

3

Answer

25

Question 4

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

Accepted Answer

(-2, 3)

Answer

(-3, 2)

Answer

(2, -3)

Answer

(3, -2)

Question 5

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 6

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 7

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 8

What is the equation for this circle?

Accepted Answer

x2+y2=9

Answer

(x+1)²+(y+1)²=9

Answer

x2+y2=6

Answer

x2+y2=3

Question 9

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 10

Find the center of the circle if the endpoints of a diameter of the circle are at (-12, -7) and (3, 5)

Accepted Answer

(-9/2, -1)

Answer

(-15/2, -6)

Answer

(9/2, 1)

Answer

(15/2, 6)

Question 11

What is the standard equation of a circle?

Accepted Answer

(x-h)² + (y-k)² = r²

Answer

(x-k)² + (y-h)² = r²

Answer

(x+h)² + (y+k)² = r²

Answer

(k-x)² + (h-y)² = r²

Question 12

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 the radius of the circle

Answer

(h,k) is the diameter of the circle

Question 13

In the circle represented by the equation (x-4)²+(y-3)²=25, the diameter is

Accepted Answer

10

Answer

3

Answer

5

Answer

25

Question 14

Which points lie on the circle represented by the equation (x+2)²+ (y+2)² = 5²

Accepted Answer

(-6, -5)

Accepted Answer

(-2, -7)

Answer

(-2, -2)

Answer

(6,4)

Answer

(8,8)

Question 15

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 16

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 17

What does the "k" in (h,k) stand for?

Accepted Answer

k is the y coordinate point in the center of the circle

Answer

k is the x coodinate point in the center of the circle

Answer

k is the radius of the circle

Answer

k is the distance of the circle

Question 18

What does "h" stand for in (h,k)?

Accepted Answer

h is the x in the coordinate point

Answer

h is the radius of the circle

Answer

h is the distance of the circle

Answer

h is the y in the coordinate point

Question 19

What is the center of the circle with equation x² + (y+6)² = 196?

Accepted Answer

(0, -6)

Answer

(1, 6)

Answer

(1, -6)

Answer

(0, 6)

Question 20

What is the radius of the circle with equation x² + (y+6)² = 196?

Accepted Answer

14

Answer

6

Answer

98

Answer

196

Question 21

Which graph corresponds to

(x-4)²+ (y+4)²=25

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 22

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 23

Which graph corresponds to

(x+2)²+ (y-3)²=36

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 24

In order to convert from general form to center-radius form, you must ___________.

Accepted Answer

complete the square

Answer

Multiply out

Answer

expand

Answer

factor

Equations of Circles

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