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in Areas Related To Circles by (56.3k points)

A sector of a circle of radius 4 cm subtends an angle of 30°. Find the area of the sector. 

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Best answer

Given,

Radius = 4 cm

Angle subtended at the centre O = 30°

We know that,

Area of the sector = θ/360 ∗ πr2

= 30/360 ∗ π42 =1/12 ∗ π16 = 4π/3

Therefore, the area of the sector of the circle = 4π/3 cm

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