Question

the angle of a sector is 120⁰ and its radius is 21 cm. area of the sector is​

Answer 1

Answer:

Area of a Sector of Circle = (θ/360º) × πr²

                                           = 120/360 × 22/7 × 21²

                                           = 2 × 22/7 × 21 × 21

                                           = 2772 cm²

Step-by-step explanation:

Answer 2

Answer:

462 cm²

Step-by-step explanation:

Radius of circle (r) = 21 cm

θ = angle subtended at centre = 120°

Length of its arc = ∅/360° * 2 pi r

= (120/360) * 2* (22/7) * 21

= 44 cm

Length of arc = 44 cm

Area of sector = ∅/ 360° * pi r²

= (120/360) * (21/7)*21*21

= 22*21

= 462 cm²

Area of sector = 462 cm²