# Circle Stations Problems

```NAME _____________________________________________ DATE ____________________________ PERIOD _____________
10-2 Skills Practice
Measuring Angles and Arcs
ΜΜΜΜ
π¨πͺ and ΜΜΜΜ
ππ are diameters of β¨R. Identify each arc as a major arc, minor arc,
or semicircle of the circle. Then find its measure.
Μ
1. mπΈπ΄
Μ
2. mπΆπ΅
Μ
3. mπ·πΆ
Μ
4. mπ·πΈπ΅
Μ
5. mπ΄π΅
Μ
6. mπΆπ·π΄
ΜΜΜΜ
π·πΉ and ΜΜΜΜ
πΈπ» are diameters of β¨A. Find each measure.
Μ
7. mπππ
Μ
8. mπππ
Μ
9. mπππ
Μ
10. mππ
Μ
11. mπππ
Μ
12. mπππ
Μ
13. mπππ
Μ
14. mπππ
Use β¨D to find the length of each arc. Round to the nearest hundredth.
Μ if the radius is 5 inches
15. πΏπ
Μ if the diameter is 3 yards
16. ππ
Μ if JD = 7 centimeters
17. πΎπΏ
Μ if NL = 12 feet
18. ππ½πΎ
Μ if DM = 9 millimeters
19. πΎπΏπ
Μ if KD = 15 inches
20. π½πΎ
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
10-3 Skills Practice
Arcs and Chords
ALGEBRA Find the value of x in each circle.
1.
2.
3.
4.
5.
6.
Μ = 71. Find each measure.
In β¨Y the radius is 34, AB = 60, and mπ¨πͺ
Μ
7. mπ΅πΆ
Μ
8. mπ΄π΅
10. BD
11. YD
12. DC
13. In β¨U, VW = 20 and
YZ = 5x. What is x?
Μ ≅ ππ
Μ , SZ = x + 4, and
14. In β¨Z, ππ
UZ = 2x − 1. What is x?
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
10-4 Skills Practice
Inscribed Angles
Find each measure.
Μ
1. mππ
2. m∠E
3. m∠ R
Μ
4. mππ
ALGEBRA Find each measure.
5. m∠N
7. m∠C
6. m∠L
8. m∠A
9. m∠J
11. m∠S
10. m∠K
12. m∠R
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
10-5 Skills Practice
Tangents
Determine whether each segment is tangent to the given circle. Justify your answer.
ΜΜΜΜ
1. π»πΌ
ΜΜΜΜ
2. π΄π΅
Find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary.
3.
4.
5.
6.
For each figure, find x. Then find the perimeter.
7.
8.
```