Answer:
12) 25π/3 cm² ≈ 26.18 cm²
13) C. 2π m²
Step-by-step explanation:
Area of a sector is:
A = πr² (θ / 360°)
where r is the radius of the circle, and θ is the angle of the sector.
12) The diameter is 20 cm, so the radius is 10 cm. The angle of each sector is 30°. So the area is:
A = π (10 cm)² (30° / 360°)
A = 25π/3 cm²
A ≈ 26.18 cm²
13) To find the area, first find the radius using Pythagorean theorem.
a² + b² = c²
r² + r² = (4 m)²
2r² = 16 m²
r² = 8 m²
So the area is:
A = π (8 m²) (90° / 360°)
A = 2π m²
