Answer:
5.9 m²
Step-by-step explanation:
Area (shaded) = Area (sector) - Area (triangle)
Finding base of triangle
- (b/2)² + (6.9)² = 8²
- b²/4 + 47.61 = 64
- b²/4 = 16.39
- b² = 65.56
- b = 8.09 (approx.)
Solving
- Area (shaded) = 3.14 x 64 x 60/360 - 1/2 x 8.09 x 6.9
- Area (shaded) = 200.96 x 1/6 - 3.45 x 8.09
- Area (shaded) = 33.49 - 27.91
- Area (shaded) = 5.58 ≅ 5.9 m²
