Question 14 - Area of combination of figures : sector based - Chapter 11 Class 10 Areas related to Circles

Last updated at April 16, 2024 by

Ex 12.3, 14 - AB and CD are arcs of two concentric circles - Ex 12.3

Ex 12.3, 14 - Chapter 12 Class 10 Areas related to Circles - Part 2
Ex 12.3, 14 - Chapter 12 Class 10 Areas related to Circles - Part 3

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Transcript

Question 14 AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O (see figure). If AOB = 30 , find the area of the shaded region. Area of shaded region = Area of sector AOB Area of sector COD Area of sector AOB radius = r = 21 cm & = 30 Area of sector AOB = /360 r2 = 30/360 22/7 21 21 = 1/12 22 3 21 = 231/2 cm2 Area of sector COD radius = r = 7 cm & = 30 Area of sector COD = /360 r2 = (30 )/360 22/7 (7)2 = 1/12 22/7 7 7 = 77/6 cm2 Now , Area of shaded region = Area of Sector OAB Area of sector OCD = 231/2 77/6 = (3 231 77)/6 = (693 77)/6 = 616/6 = 308/3 cm2 Hence, area of shaded region = 308/3 cm2

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo