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Q.

Find the area of the sector of a circle of radius 4 cm and angle 30°. Find the area of the corresponding major sector. 𝜋 = 3.14)

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a

50.24 cm2   

b

50.42 cm2  

c

60.24  

d

62.42 cm2   

answer is A.

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Detailed Solution

We have,
Let the radius of circle = r= 4 cm
Angle sector of circle=
= Ө/36°° x xr2 = 30° /36°° x  X x4x4
= ⊼/3 = 4x3.14/3
Area of minor sector of circle = 4.186 m2 Area of major sector = Area of circle - area of major sector
= ⊼r2 - 4.186
= 3.14x4x4 - 4.186
= 3.14x16 - 4.186
Area of major sector = 50.24 cm2
 Type -  CBSE
Class-  Grade 10
Topic-  Areas of Sector of a circle
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