SHOW ALL WORK!!! Staple your notes or work. Name_______________________Period__ BURKE P-10
Geometry
Chapter 10
Practice Test
*Figures are not drawn to scale.
6. Tell whether AB is tangent to the circle C. Explain.
TARGET 10.1
1. Name the minor arc and find its measure.
A
a. arc ADB; 230°
b. arc AB; 130°
c. arc AB; 230°
d. arc ADB; 130º
D
130°
C
B
7. Points B and D are the points of tangency. Find the
value of x. Find the length of AB.
2. Name the major arc and find its measure.
A
a. arc AB; 295
b. arc ADB; 65
c. arc AB; 295
d. arc ADB; 65
D
65°
C
B
3. Identify a semicircle that contains C.
C
a. semicircle BAC
b. semicircle AC
c. semicircle CB
d. semicircle ACB
A
B
0
8. JK , KL, and LJ are all tangent to O, JA = 10,
AL = 6, and CK = 8. Calculate the perimeter of
J
JKL .
A
4. Tell whether the line, ray, or segment is best described
as a radius, diameter, secant, or tangent of the circle C.
L
a) segment AB_____________
b) segment CB _____________
c) line AG _________________
d) line DE _________________
K
C
9. Describe and correct the error:
Because 252=72+242
∆EFD is a right triangle.
So, segment FD is tangent
to the circle E.
TARGET 10.2
5.
B
O
AB is tangent to circle O at B. Calculate the length
of the radius r for AB = 6 cm and AO = 9.8 cm.
Round to the nearest tenth if necessary.
A
B
r
O
TARGET 10.3
10. Describe and correct the error in naming the major
arc.
̂
𝐵𝐶
11. Identify the arc as a major arc, minor arc, or
semicircle. Then find the measures of the arcs.
18. Calculate the length of arc XPY to the nearest
tenth.
X
̂
a) 𝐽𝐾
̂
b) 𝐽𝐿
18 m
P
̂
c)𝐽𝐻𝐿
19. Calculate the length of arc AB and the length of
arc ACB to the nearest tenth.
12. Find the indicated
measure.
a)
b)
c)
Y
̂
𝑄𝑅
̂
𝑃𝑄
̂
𝑇𝑆
TARGET 10.4
13. What is the center and the radius of each circle?
a) (x - 8)2 + y2 = 9
b) (x + 2)2 + (y - 4)2 = 36
14. Write the standard equation of each circle.
a)
b)
20. Convert 26 to radians.
2𝜋
21. Convert
radians to degrees.
9
TARGET 10.6
22. Find the area of a circle with a radius of 6.8 feet.
23. Find the area of a circle with a diameter of 19.2
cm.
24. Calculate the radius of a circle if its area is
80cm2
25. Find the area of the sector formed by JLK.
15. Graph the circle  x  3   y  2   16.
2
2
26. Find the area of the shaded region.
16. A student says that the center of a circle with
equation (x - 2)2+(y + 3)2= 16 is (-2,3). What is the
student’s error?
27. Your class must find the area of a sector of a circle
determined by 150 arc. The diameter of the circle is
6 cm. what is your classmate’s error?
𝑠𝑒𝑐𝑡𝑜𝑟 𝑎𝑟𝑒𝑎 150
=
𝜋(6)2
360
TARGET 10.5
17. Calculate the circumference in terms of .
a. 2.2 cm b. 18.5 cm
c. 8.6 cm d. 4.3 cm
4.3 cm
𝑠𝑒𝑐𝑡𝑜𝑟 𝑎𝑟𝑒𝑎 150
=
36𝜋
360
360 ∗ 𝑠𝑒𝑐𝑡𝑜𝑟 𝑎𝑟𝑒𝑎 = 150 ∗ 36𝜋
𝑠𝑒𝑐𝑡𝑜𝑟 𝑎𝑟𝑒𝑎 =
150 ∗ 36𝜋
360
𝑠𝑒𝑐𝑡𝑜𝑟 𝑎𝑟𝑒𝑎 = 47.1 𝑐𝑚2