Question

Find the area of a sector that has a radius of 7 cm with a 190° angle.

Answer 1

GiveN:-

• Radius of Sector , r = 7 cm
• Angle of a Sector , θ = 190°

Area of Sector:-

• Area = (θ/360°) π r²
• Area = (190°/360°)× (22/7)×7²
• Area = (19°/36°)×(22/7) ×7× 7
• Area = (19°/18°) × (11/7) × 49
• Area = (19°/18°) × (11/1) × 7
• Area = (19°/18°) × 11 × 7
• Area = (19 × 11 × 7/ 18)
• Area = (19 × 77/ 18)
• Area = (1463/ 18)
• Area = 81.27 cm²

Answer:-
`\sf \: 81.27 \: {cm}^(2)` ✅