Geometry
Lessons 10-6/10-7 WS
Name_______________________________
Find the measure of each arc in
1. BTC
__________
2. CD
__________
3. BC
__________
4. TDC
__________
P.
Choose 3 of the following. Find the circumference of each circle. Leave your answer in
terms of  .
5.
6.
7.
8.
Complete 1 of the following. Solve the problem. Show all work!
9. The wheels on Reggie’s bike each have a 20-in. diameter. His sister’s mountain bike has
wheels that each have a 26-in. diameter. To the nearest inch, how much farther does Reggie’s
sister’s bike travel in one revolution than Reggie’s bike?
10. Kiley’s in-line skate wheels have a 43-mm diameter. How many meters will Kiley travel
after 5000 revolutions of the wheels on her in-line skates? Round your answer to the nearest
tenth of a meter.
Choose 2 of the following. Find the length of the darkened arc. Leave your answer in
terms of  .
11.
12.
13.
14.
Choose 2 of the following. Write and solve an equation to find the value of the variable.
15.
16.
17.
Choose 3 of the following. Find the area of each circle. Leave your answer in terms of  .
18.
19.
20.
21.
Choose 2 of the following. Find the area of the shaded sector. Leave your answer in terms
of  .
22.
23.
24.
25.
Choose 2 of the following. Find the area of the shaded segment of the circle. Round to
three decimal places.
26.
27.
28.
Choose 2 of the following. Find the area of the shaded region. Leave your answer in terms
of  .
29.
30.
31.
Choose 1 of the following. Find the area of the shaded region. Leave your answer in terms
of  .
32.
33.
34.
Complete 1 of the following. Solve the problem. Show all work!
35. Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an
irrigation circle. How much land is covered with an irrigation arm of 300 feet?
36. A town provides bus transportation to students living beyond 2 miles of the high school.
What area of the town does not have bus service? Round to the nearest tenth.
37. A circle with radius 12 millimeters is divided into 20 sectors of equal area. What is the area
of one sector to the nearest tenth?
Complete the following problems.
38. Find the diameter of a circle with an area of 225 yd2.
39. Find the area of a circle with a circumference of 22 feet.