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Grade 10 End of Week 13 Test

Total questions: 20

Worksheet time: 3hrs 32mins

Name
Class
Date
1.

Which of the following equations of circle in general form given the center at (5, -8) and radius of 11 units?

a)

x2 + y2 -10x + 16y + 32 = 0

b)

x2 + y2 -10x + 16y - 32 = 0

c)

(x - 5)2 + (y + 8)2 = 11

d)

(x - 5)2 + (y + 8)2 = 121

2.

Which of the following equations of circle in general form given the center at (3, 4) and radius of 5 units?

a)

(x – 3)2 - (y – 4)2 = 25

b)

(x – 3)2 + (y – 4)2 = 25

c)

x2 + y2 + 6x - 8y - 25 = 0

d)

x2 + y2 - 6x - 8y = 0

3.
Determine the center and radius: x+ y+ 14x - 2y = -1
a)
center= (-7,2) radius= 3
b)
center= (-7,1) radius= 7
c)
center= (-4,1) radius= 5
4.
Determine the equation of the circle in standard form: x+ y+ 6x - 12y + 20 = 0
a)
(x-3)2 + (y+6)2 = 25
b)
(x+3)2 + (y-6)2 = 25
c)
(x-3)2 + (y+6)2 = 45
d)
(x+3)2 + (y-6)2 = 5
5.
Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
a)
(x+2)2 + (y+3)2 = 49
b)
(x+2)2 + (y+3)2 = 13
c)
(x-2)2 + (y-3)2 = 49
d)
(x-2)2 + (y-3)2 = 13
6.
Determine the equation of a circle with center (5,-3) and radius of 9
a)
x2+y2-10x+6y-47=4
b)
x2+y2-10x-6y-47=0
c)
2x2+y2+10x+6y-47=0
d)
x2+y2-10x+6y-47=0
7.
Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
a)
(x+2)2 + (y+3)2 = 49
b)
(x+2)2 + (y+3)2 = 13
c)
(x-2)2 + (y-3)2 = 49
d)
(x-2)2 + (y-3)2 = 13
8.
What is the radius of the given circle:
 x²+y²-10x+8y-23=0?
a)
4
b)
2
c)
8
9.

What is the circle equation?

a)

(x+12)2+(y+9)2=17π

b)

(x-9)2+(y-12)2=72.25

c)

(x+9)2+(y+12)2=72.25

d)

(x-12)2+(y-9)2=17π

10.

What is the circle equation?

a)

(x+8)2+(y+11)2=16

b)

(x-8)2+(y-11)2=4

c)

(x+11)2+(y+8)2=16π

d)

(x-11)2+(y-8)2=4

11.

Write the circle equation

a)

(x+2)2+(y-2)2=361

b)

(x+2)2+(y-2)2=19

c)

(x-2)2+(y+2)2=19

d)

(x-2)2+(y+2)2=361

12.

What is the center and the diameter?

a)

C(2,-7)

d=36

b)

C(7,-2)

d=18

c)

C(-7,2)

d=36

d)

C(-7,2)

d=18

13.

Write the equation of a circle with diameter endpoints of (-14,1) and (-10,9).

a)

(x+12)2+(y-5)2=20

b)

(x+14)2+(y-1)2=4.47

c)

(x-12)2+(y+5)2=20

d)

(x+10)2+(y-9)2=4.47

14.
What is the equation of a circle with radius 4 and center (0, 8)?
a)
x2 + (y-8)2 = 16
b)
(x-8)2 + y2 = 4
c)
x2 + (y-8)2 = 4
d)
x2 + (y+8)2 = 16
15.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
16.

What is the coordinates of the center and the radius of the circle with equation:

(x - a)2 + (y - b)2 = r2 ?

a)

Center (a,b)

Radius = r2 units

b)

Center (-a,-b)

Radius = r units

c)

Center (a,b)

Radius = r units

d)

Center (-a,-b)

Radius = r2 units

17.

The point (-5,6) is on a circle with center (-1,3). Write the equation of the circle.

a)

(x+5)2+(y-6)2=25

b)

(x-5)2+(y-2)2=25

c)

(x-8)2+(y-6)2=49

d)

(x+1)2+(y-3)2=25

18.
Write the equation of a circle with center (7, 0) with radius 3. 
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
19.

Select the equation of a circle that has a diameter of 12.

a)

(x-6)2+(y+6)2=12

b)

(x-12)2+(y-2)2=6

c)

(x+1)2+(y-12)2=144

d)

(x-4)2+(y-1)2=36

20.

Select all equations that have a radius of 3.

a)

(x-3)2+(y-3)2=3

b)

(x+6)2+(y-2)2=9

c)

(x+5)2+y2=6

d)

(x-7)2+(y-1)2=9

e)

(x-2)2+(y-3)2=6