Answer:
S = 3.92π
Explanation:
The formula for area of a sector is
S = (Ф/360°)πr² where Ф is the angle of the sector in degrees, and r is the radius.
The radius is half of the diameter, so we have 5 = 5.6/2 = 2.8, and Ф = 180°
The area is
S = (180°/360°)π(2.8)²
S = (1/2)π(7.84)
S = 3.92π