KARMAVEER VIDYA PRABODHINI SATARA MADHYA VIBHAG PPT PRESENTATION

¸üµÖŸÖ ׿Ö� Ö� Ö ÃÖÓãÖÖ, � ú´ÖÔ¾Ö߸ü ×¾ÖªÖ¯ÖϲÖÖê×¬Ö Öß, ´Ö¬µÖ ×¾Ö³ÖÖ� Ö, ÃÖÖŸÖÖ¸üÖ KARMAVEER VIDYA PRABODHINI, SATARA. MADHYA VIBHAG PPT PRESENTATION PRESENTED BY TEACHERS. 8 th STD. - MATHEMATICS. WITH SYLLABUS 2011 -12 ‡µÖ¢ÖÖ 8 ×¾Ö ÖµÖ ¯ÖÏ� ú¸ü� Ö Circumference

¸üµÖŸÖ ׿Ö� Ö� Ö ÃÖÓãÖÖ, � ú´ÖÔ¾Ö߸ü ×¾ÖªÖ¯ÖϲÖÖê×¬Ö Öß, ´Ö¬µÖ ×¾Ö³ÖÖ� Ö, ÃÖÖŸÖÖ¸üÖ UNIT 7 : THE CIRCUMFERENCE AND AREA OF CIRCLE SUB UNITS : 1) CIRCUMFERENCE OF A CIRCLE 2)RELATION BETWEEN CIRCUMFERENCE AND DIAMETER. 3)VALUE OF Л. 4)AREA OF CIRCLE 5)EXAMPLES ‡µÖ¢ÖÖ 8 ×¾Ö ÖµÖ ¯ÖÏ� ú¸ü� Ö Circumference

¸üµÖŸÖ ׿Ö� Ö� Ö ÃÖÓãÖÖ, � ú´ÖÔ¾Ö߸ü ×¾ÖªÖ¯ÖϲÖÖê×¬Ö Öß, ´Ö¬µÖ ×¾Ö³ÖÖ� Ö, ÃÖÖŸÖÖ¸üÖ CIRCUMFERENE OF CIRCLE: A WIRE RING IS SHOWN IN THE FIGURE ALONGSIDE. WE CAN BREAK THIS RING AT ANY POINT ON IT, STRAIGHTEN OUT THE WIRE AND MEASURE ITS LENGTH. THIS LENGTH IS CALLED THE CIRCUMFERENCE OF THE CIRCLE. ×¾Ö ÖµÖ ‡µÖ¢ÖÖ 8 ¯ÖÏ� ú¸ü� Ö Circumference

¸üµÖŸÖ ׿Ö� Ö� Ö ÃÖÓãÖÖ, � ú´ÖÔ¾Ö߸ü ×¾ÖªÖ¯ÖϲÖÖê×¬Ö Öß, ´Ö¬µÖ ×¾Ö³ÖÖ� Ö, ÃÖÖŸÖÖ¸üÖ RELATION BETWEEN CIRCUMFERENCE AND THE RATIO OF THE CIRCUMFERENCE DIAMETER OF ANY CIRCLE TO ITS DIAMETER IS A CONSTANT AND THIS CONSTANT IS AN IRRATIONAL NUMBER. THE GREEK LETTER π IS USED AS A SYMBOL FOR THIS SYMBOL. CIRCUMFERENCE DIAMETER ‡µÖ¢ÖÖ 8 = Л ×¾Ö ÖµÖ ¯ÖÏ� ú¸ü� Ö Circumference

¸üµÖŸÖ ׿Ö� Ö� Ö ÃÖÓãÖÖ, � ú´ÖÔ¾Ö߸ü ×¾ÖªÖ¯ÖϲÖÖê×¬Ö Öß, ´Ö¬µÖ ×¾Ö³ÖÖ� Ö, ÃÖÖŸÖÖ¸üÖ EXAMPLE 5. THE DIAMETER OF A BULLK-CART WHEEL IS 1. 4 HOW MANY TIMES MUST THE WHEELS ROTATE FOR THE CART TO COVER A DISTANCE OF 1. 1 KM? CIRCUMFERENC OF WHEEL = 1 ROTATION OF WHEEL : . C = πd = (22/7) x 1. 4 = 4. 4 km : . THE WHEELS MUST COMPLETE 250 ROTATIONS FOR THE CART TO COVER A DISTANCE OF 1. 1 km. ‡µÖ¢ÖÖ 8 ×¾Ö ÖµÖ ¯ÖÏ� ú¸ü� Ö Circumference