Quiz about Geometry Equation Of A Circle Study Guide

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-4)²+(y-3)²=25, the radius is

Accepted Answer

5

Answer

4

Answer

25

Answer

3

Question 3

What is the length of the diameter of the circle represented by the equation (x+1)²+(y-5)²=36?

Accepted Answer

12

Answer

6

Answer

36

Answer

72

Question 4

For the equation of a circle (x-2)²+(y+3)²=49, what are the coordinates of its center?

Accepted Answer

(2, -3)

Answer

(2, 3)

Answer

(-2, -3)

Answer

(-2, 3)

Question 5

If the equation of a circle is (x+4)²+(y-6)²=64, what is the radius of the circle?

Accepted Answer

8

Answer

64

Answer

16

Answer

4

Question 6

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 7

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 8

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 9

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 10

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 11

Write the equation in standard form for the circle x²+y²-9=0

Accepted Answer

x2+y2=9

Answer

(x+1)²+(y+1)²=81

Answer

(x-1)²+(y-1)²=81

Question 12

Write the equation in standard form for the circle

0=-x²-y²-14y+14

Accepted Answer

x²+(y+7)²=63

Answer

x²+y²+14y=63

Answer

x²+(y+7)²=49

Answer

-x²+(y-7)²=35

Question 13

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 14

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

Question 15

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 16

Identify the center of the circle in general form.

x²+y²-20x+14y+129=0

Accepted Answer

(10,-7)

Answer

(-10,-7)

Answer

(20,14)

Answer

(-20,14)

Question 17

What is the radius of the equation of circle:

x²+y²-12x-12y-28=0

Accepted Answer

10

Answer

28

Answer

36

Answer

100

Question 18

What is the radius of the equation of circle:

x²+y²-10x-14y+38=0

Accepted Answer

6

Answer

49

Answer

-38

Answer

36

Question 19

Write the standard equation for the following image

Accepted Answer

(x+2)²+(y-1)²=9

Answer

(x-2)²+(y+1)²=9

Answer

x²+y²+4x-2y-4=0

Answer

(x+2)²+(y-1)²=3

Question 20

Which image below reflects the following equation:

x²+y²+8x+12y+27=0

Accepted Answer

Question 21

Find the center and radius of the circle given by the equation:

x² + y² - 6x + 4y + 9 = 0

Accepted Answer

Center = (3, -2), Radius = 2

Answer

Center = (-3, 2), Radius = 4

Answer

Center = (3, -2), Radius = 4

Answer

Center = (-3, 2), Radius = 2

Question 22

What is the radius of the following equation

(x+7)²+(y-9)²=25

Accepted Answer

5

Answer

25

Answer

7

Answer

9

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