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Review 6.1-6.7

Total questions: 20

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
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
2.

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

a)

Center (4, 3)

Radius = 5 units

b)

Center (4, 3)

Radius = 25 units

c)

Center (-4, -3)

Radius = 25 units

d)

Center (-4, -3)

Radius = 5 units

3.
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
4.

What is the radius of the circle with this equation of (x - 5)² + (y + 7)² = 8?

a)

4

b)

8

c)

4√2

d)

2√2

5.

A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.

a)

(x - 6)2 + (y + 4)2 = 49

b)

(x + 4)2 + (y - 6)2 = 49

c)

(x - 6)2 + (y + 4)2 = 55

d)

x2 + y2 = 55

6.

Find the center and radius of the circle: x2 + y2 + 14x - 2y = -1.

a)

center = (-7, 2) radius = 3

b)

center = (-7, 1) radius = 7

c)

center = (-4, 1) radius = 7

d)

center = (-4, 2) radius = 3

7.
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
8.
a)
A
b)
B
c)
C
d)
D
9.
a)
A
b)
B
c)
C
d)
D
10.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
11.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
12.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
13.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
14.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
15.

Find the length of the arc to 2dp

a)

9.42cm

b)

150.80cm

c)

4.71cm

d)

18.85cm

16.
Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
17.

What is the area of sector​ GPH?

a)

9π yd2

b)

32π yd2

c)

18π yd2

d)

6π yd2

18.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

19.

What is the area of the shaded segment?

a)

32π/3 - 2√3

b)

32π/3 - 16√3

c)

16π/3 - 16√3

d)

32π/3 + 16√3

20.

Try - it, find the area of the segment of the circle.

a)

192π - 12√3

b)

384π - 144√3

c)

192π - 144√3

d)

384π - 12√3