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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

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 30°. Also, find the area of the corresponding major sector (Use π = 3.14). Here, radius = r = 4 cm, θ=30° Now, Area of sector = 𝜃/360×𝜋𝑟2 = 30/360×3.14×(4)2 = 1/12×3.14×4×4 = 1/3×3.14×4 = 12.56/3 cm2 = 4.19 cm2 Area of major sector = ((360 − θ))/360×𝜋𝑟2 = ((360 − 30))/360×3.14×(4)2 = 330/360×3.14×4×4 = 11/12×3.14×4×4 = 46.05 cm2 Example 2 (Method 2) Find the area of the sector of a circle with radius 4 cm and of angle 30°. Also, find the area of the corresponding major sector (Use π= 3.14). Here, radius = r = 4 cm, θ=30° Now, Area of sector = 𝜃/360×𝜋𝑟2 = 30/360×3.14×(4)2 = 1/12×3.14×4×4 = 1/3×3.14×4 = 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 = 𝜋𝑟2 = 3.14 × 42 = 3.14 × 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

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.