Question

4
Calculate the area of the shaded region. Round to the nearest tenth, as needed.
59
1.3 m 1.7 m

Answer 1

Answer:

0.9m²

Step-by-step explanation:

Find the area of the larger circle, the radius is 0.85m because the diameter is double this - 1.7m:

• a = πr² = π × (0.85)² = 289/400π

Find the area of the smaller circle, the radius is 0.65 because the diameter is double this - 1.3m:

• a = πr² = π × (0.65)² = 169/400π

Subtract the two area:

289/400π - 169/400π = 120/400π = 3/10π or 0.942477.. ≈ 0.9m²