Question

Find the area of the sector of circle with radius 4cm and angle 30 degree also find the area of the corresponding major sector

Answer 1

area of major sector of a circle is 46.05cm^2

Answer 2

Solution:

Radius = r = 4 cm, ( θ=30° )

Area of sector = [/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

Thanks