1. Presented By
Tushar Chandrakant Mhatre (Asst. Teacher) Shri Chhatrapati Shivaji Highschool and Loknete D. B. Patil junior college Jasai

2. PICTURES RELATED TO SHAPES

3. DAILY USES OF SHAPES
Length of wirerequired for fencing a circular garden.
Quantity of the paint required for the walls.
Measuring area of farmland.
Quantity of water stored in water tanks.

4. Geometrical Shapes

5. CIRCLE- ARC, SECTOR, SEGMENT

6. Sub-Units
*Length of an arc *Area of a sector *Area of segment of a circle *Euler’s formula

7. Length of an arc

8. Area of a sector

9. Area of segment of a circle

10. Euler's formula-[F+V=E+2]
NAME
FIGURE F V E
CUBOID 6 8 12
TRIANGULAR
PYRAMID 4
PRISM 5 9

11. Euler's formula [F+V=E+2]
NAME
FIGURE F V E
Pyramid with square base 5 8
Prism with square base 6 12
Pyramid with hexagonal base 7
Prism with
Hexagonal base 18

12. CUBOID
Volume of a cuboid= l*b*h

13. CUBE

14. RIGHT CIRCULAR CYLINDER

15. RIGHT CIRCULAR CONE

16. FRUSTUM OF THE CONE

17. SPHERE

18. HEMISPHERE

19. APPLICATION
In this section we shall apply them to find the surface areas and volumes of solids which are combinations of these solids. e.g. a circus tent-is a combination of a cylinder and a hemisphere etc.

20. HOT PROBLEMS
1)Length of the arc of a circle is 44cm. If the radius of the circle is 21cm,find the angle subtended by the arc at the centre.
(Marks2)
2) Find the volume of a cube having total surface area as sq.cm
(Marks3)
3) Find the number of the coins of 2.2cm diameter and 0.2 cm thick, can be made from a right circular of height 0.2 and diameter 8.8 cm (Marks5)

21. THANK YOU