Question

Find the area of the sector.

Answer 1

5.9 m²

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

Answer 2

33.5

Explanation:

60°÷360=0.16

60°/360° ×π×8²m

=33.5m²