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

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Presentation transcript:

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

PICTURES RELATED TO SHAPES

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.

Geometrical Shapes

CIRCLE- ARC, SECTOR, SEGMENT

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

Length of an arc

Area of a sector

Area of segment of a circle

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

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

CUBOID Volume of a cuboid= l*b*h

CUBE

RIGHT CIRCULAR CYLINDER

RIGHT CIRCULAR CONE

FRUSTUM OF THE CONE

SPHERE

HEMISPHERE

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.

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 661.5 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)

THANK YOU