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Unit 9 Circle Review

Total questions: 16

Worksheet time: 37mins

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.
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
a)
(x - 2)+ (y + 5)= 36
b)
(x - 5)2 + (y + 2)2 = 6
c)
(x + 5)+ (y - 2)= 36
d)
(x + 2)+ (y - 5)= 6
5.

Does the point (4,5) lie on the circle whose center is (-2,-2) and radius 9?

a)

yes

b)

No

6.

In the equation (x+2)2+(y-3)2=10, the radius of the circle is...

a)

10

b)

3.2

c)

100

d)

Can't be determined

7.
Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
8.

What is the circumference?

a)

48π

b)

96π

c)

24π

d)

16π

9.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
10.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
11.

Find the area of the sector, rounding your answer to the nearest tenth.

a)

67π cm2

b)

67.0cm2

c)

16.8cm2

d)

134.0cm2

12.

Find the area of the sector, rounding your answer to the nearest tenth.

a)

15.4m2

b)

15.3m2

c)

15.5m2

d)

15.6cm2

13.

What is the decimal approximation of pi?

a)

1.41

b)

2.00

c)

3.14

d)

5.14

14.

What is the area formula for a circle?

a)

A = πr2

b)

A = 2πr

c)

A = √π

15.

The distance along the edge of a circle between two points is the _________

a)

area of a sector

b)

arc length

c)

area of the circle

d)

sector of a circle

16.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

a)

3.3 ft2

b)

4.5 ft2

c)

6.3 ft2

d)

7.1 ft2