Question

6. A sector is cut from a circle of diameter
21 cm. If the angle of the sector is 150º,
find its area.​

Answer 1

Step-by-step explanation:

2 × Radius = Diameter

Radius = 21/2 cm

Area of sector = Angle/360 × πr²

= 150/360 × 22/7 × 21/2 × 21/2

= 5/12 × 22 × 3/2 × 21/2

= 144.375 cm²

Answer 2

Answer:

here,

diameter, d = 21 cm

radius , r = 21/2

r = 10.5 cm

angle = 150°

Now,

Area of the sector,

Now, area of sector

θ/360° × πr²

⇒150°/360° × 22/7 × (10.5)²

⇒144.375

hope it helps yrr