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Methodical recommendation:

Theory

Number Name Description
1. Recalling segments of a circle Let us recall the segments of a circle.
2. Important formulae Let us get introduced to the important formulae dealing with circles.

Exercises

Number Name Type Difficulty Points Description
1. Find the length of the arc 2nd type - interpretation easy 2 m. Find the length of the arc using the given data.
2. Find the area of the major sector 2nd type - interpretation easy 1 m. Find the area of the major sector from the given options.
3. The perimeter of the sector 2nd type - interpretation easy 2 m. Find the perimeter of the sector from the given options.
4. Areas of major and minor segments 2nd type - interpretation medium 4 m. Find the areas of major and minor segments from the data given.
5. Calculate the area of the specified region 2nd type - interpretation medium 4 m. Calculate the area of the specified region using the given data.
6. Find the area covered by the minute hand 2nd type - interpretation medium 4 m. Find the area covered by the minute hand using the given data.
7. Find the area of the corresponding sector 2nd type - interpretation medium 4 m. Find the area of the corresponding sector using the given data.
8. Find the area of the sector 2nd type - interpretation medium 4 m. Find the area of the sector using the data given.
9. Find the area to be painted 2nd type - interpretation medium 4 m. Find the area to be painted black using the data given.
10. Find the perimeter of the sector 2nd type - interpretation medium 4 m. Find the perimeter of the sector using the data given.
11. Find the unknown angle 2nd type - interpretation medium 3 m. Find the unknown angle of the sector using the data given.
12. The area of the shaded region 2nd type - interpretation medium 3 m. Find the area between the two concentric circles.
13. Specifics of a square grass field 2nd type - interpretation medium 4 m. Find the specified areas dealing with the square grass field.
14. Determine the area of the shaded region 2nd type - interpretation hard 5 m. Determine the area of the shaded region using the data given.
15. Find the areas of major and minor segments 2nd type - interpretation hard 6 m. Find the areas of major and minor segments using the data given.
16. Calculate the area of the shaded region 2nd type - interpretation hard 5 m. Calculate the area of the shaded region using the data given.

Exercises for teacher use

Number Name Type Difficulty Points Description
1. Find the specifics of the circle Other easy 2 m. Find the specified measurements of the circle using the data given.
2. Derive the area of the shaded portion Other medium 4 m. Derive the area of the shaded portion using the data given.
3. The area of the shaded region within the circle Other medium 4 m. Find the area of the shaded region within the circle.
4. The cummulative area of the shaded region Other hard 5 m. The cummulative area of the shaded region using the given data.
5. Answer the following Other hard 8 m. Answer the following questions based on areas of sectors and segments.

Tests

Number Name Recomended time: Difficulty Points Description
1. Training test I 00:15:00 medium 11 m.
2. Training test II 00:15:00 medium 10 m.
3. Training test III 00:15:00 medium 14 m.

Question Bank for Teachers

Number Name Recomended time: Difficulty Points Description
1. Homework 00:20:00 medium 12 m.
2. Progress test I 00:25:00 hard 16 m.
3. Progress test II 00:25:00 hard 13 m.