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Example 2 - Find area of sector, radius 4 cm, angle 30 - Examples

Example 2 - Chapter 12 Class 10 Areas related to Circles - Part 2

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Example 2 - Chapter 12 Class 10 Areas related to Circles - Part 3
Example 2 - Chapter 12 Class 10 Areas related to Circles - Part 4

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Example 2 (Method 1) Find the area of the sector of a circle with radius 4 cm and of angle 30Β°. Also, find the area of the corresponding major sector (Use Ο€ = 3.14). Here, radius = r = 4 cm, ΞΈ=30Β° Now, Area of sector = πœƒ/360Γ—πœ‹π‘Ÿ2 = 30/360Γ—3.14Γ—(4)2 = 1/12Γ—3.14Γ—4Γ—4 = 1/3Γ—3.14Γ—4 = 12.56/3 cm2 = 4.19 cm2 Area of major sector = ((360 βˆ’ ΞΈ))/360Γ—πœ‹π‘Ÿ2 = ((360 βˆ’ 30))/360Γ—3.14Γ—(4)2 = 330/360Γ—3.14Γ—4Γ—4 = 11/12Γ—3.14Γ—4Γ—4 = 46.05 cm2 Example 2 (Method 2) Find the area of the sector of a circle with radius 4 cm and of angle 30Β°. Also, find the area of the corresponding major sector (Use Ο€= 3.14). Here, radius = r = 4 cm, ΞΈ=30Β° Now, Area of sector = πœƒ/360Γ—πœ‹π‘Ÿ2 = 30/360Γ—3.14Γ—(4)2 = 1/12Γ—3.14Γ—4Γ—4 = 1/3Γ—3.14Γ—4 = 12.56/3 cm2 = 4.19 cm2 Area of major sector = Area of circle – Area of minor sector Here, radius = r = 4 cm Area of circle = πœ‹π‘Ÿ2 = 3.14 Γ— 42 = 3.14 Γ— 16 = 50.24 cm2 Area of major sector = Area of circle – Area of minor sector = 50.24 – 4.19 = 46.05

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.