Question

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

Answer 1

Answer:

The Area of the sector of a circle is 4π/3 cm² .

Step-by-step explanation:

Given :  

Sector angle of a circle, θ = 30°

Radius of a circle ,r = 4 cm

Area of the sector of a circle, A = (θ/360) × πr²

A = (30°/360°) π ×4²

A = (30°/360°) π ×16

A = (16π/12)

A = 4π/3 cm²

Area of the sector of a circle = 4π/3 cm²

Hence, the Area of the sector of a circle is 4π/3 cm² .

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Answer 2

Answer: 4π/3 cm² .

Step-by-step explanation:

Given :

θ = 30°

Radius of a circle (r) = 4 cm

We know that,

Area of the sector = (θ/360) × πr²

= (30/360) π × 4²

= (30/360) π × 16

= (16π/12)

= 4π/3 cm²

Area of the sector of a circle = 4π/3 cm²