Last updated at May 29, 2018 by Teachoo

Transcript

Example 2 (Method 1) Find the area of the sector of a circle with radius 4 cm and of angle 30ยฐ. Also, find the area of the corresponding major sector (Use ฯ = 3.14). Here, radius = r = 4 cm, ฮธ=30ยฐ Now, Area of sector = ๐/360ร๐๐2 = 30/360ร3.14ร(4)2 = 1/12ร3.14ร4ร4 = 1/3ร3.14ร4 = 12.56/3 cm2 = 4.19 cm2 Area of major sector = ((360 โ ฮธ))/360ร๐๐2 = ((360 โ 30))/360ร3.14ร(4)2 = 330/360ร3.14ร4ร4 = 11/12ร3.14ร4ร4 = 46.05 cm2 Example 2 (Method 2) Find the area of the sector of a circle with radius 4 cm and of angle 30ยฐ. Also, find the area of the corresponding major sector (Use ฯ= 3.14). Here, radius = r = 4 cm, ฮธ=30ยฐ Now, Area of sector = ๐/360ร๐๐2 = 30/360ร3.14ร(4)2 = 1/12ร3.14ร4ร4 = 1/3ร3.14ร4 = 12.56/3 cm2 = 4.19 cm2 Area of major sector = Area of circle โ Area of minor sector Here, radius = r = 4 cm Area of circle = ๐๐2 = 3.14 ร 42 = 3.14 ร 16 = 50.24 cm2 Area of major sector = Area of circle โ Area of minor sector = 50.24 โ 4.19 = 46.05

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.