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/360Γππ2
= 30/360Γ3.14Γ(4)2
= 1/12Γ3.14Γ4Γ4
= 1/3Γ3.14Γ4
= 12.56/3 cm2
= 4.19 cm2
Area of major sector = ((360 β ΞΈ))/360Γππ2
= ((360 β 30))/360Γ3.14Γ(4)2
= 330/360Γ3.14Γ4Γ4
= 11/12Γ3.14Γ4Γ4
= 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/360Γππ2
= 30/360Γ3.14Γ(4)2
= 1/12Γ3.14Γ4Γ4
= 1/3Γ3.14Γ4
= 12.56/3 cm2
= 4.19 cm2
Area of major sector
= Area of circle β Area of minor sector
Here, radius = r = 4 cm
Area of circle = ππ2
= 3.14 Γ 42
= 3.14 Γ 16
= 50.24 cm2
Area of major sector
= Area of circle β Area of minor sector
= 50.24 β 4.19
= 46.05

Made by

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.

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