116 cm²
Step-by-step explanation:
area shaded = total area - area not shaded
πr² is the area of a circle
total area = πr² = π*(6.5cm)² = 132.732289614 cm²
area not shaded = πr² (note the radius is 2.3cm for the non-shaded portion) = π*(2.3cm)² = 16.6190251375 cm²
area shaded = total area - area not shaded = 132.732289614 cm² - 16.6190251375 cm² = 116.113264476 cm² ≈ 116 cm²