Answer:
26.67 cm
Step-by-step explanation:
Area of a sector
- A = πr² x θ/360°
- 280 = 22/7 x 21 x 21 x θ/360°
- 280 = 22 x 3 x 21 x θ/360°
- 40 = 22 x 9 x θ/360°
- 40 = 22 x θ/40°
- 1600 = 22 x θ
- θ = 1600/22 = 800/11 = 72.7°
Finding Perimeter (Arc Length)
- 2πr x θ/360°
- 2 x 22/7 x 21 x 800/11 x 1/360
- 2 x 22 x 3 x 800 x 1/11 x 1/360
- 132/11 x 800/360
- 12 x 20/9
- 12/9 x 20
- 4/3 x 20
- 80/3
- 26.67 cm
