Example 1 (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 1 (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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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