Theory
Exercises
1. 
Find the length of the arc
Difficulty: easy 
2

2. 
Find the area of the major sector
Difficulty: easy 
1

3. 
The perimeter of the sector
Difficulty: easy 
2

4. 
Areas of major and minor segments
Difficulty: medium 
4

5. 
Calculate the area of the specified region
Difficulty: medium 
4

6. 
Find the area covered by the minute hand
Difficulty: medium 
4

7. 
Find the area of the corresponding sector
Difficulty: medium 
4

8. 
Find the area of the sector
Difficulty: medium 
4

9. 
Find the area to be painted
Difficulty: medium 
4

10. 
Find the perimeter of the sector
Difficulty: medium 
4

11. 
Find the unknown angle
Difficulty: medium 
3

12. 
The area of the shaded region
Difficulty: medium 
3

13. 
Specifics of a square grass field
Difficulty: medium 
4

14. 
Determine the area of the shaded region
Difficulty: hard 
5

15. 
Find the areas of major and minor segments
Difficulty: hard 
6

16. 
Calculate the area of the shaded region
Difficulty: hard 
5

Tests
1. 
Training test I
Difficulty: medium 
11

2. 
Training test II
Difficulty: medium 
10

3. 
Training test III
Difficulty: medium 
14
