Answer:
73.4
Step-by-step explanation:
The shaded area can be split into two shapes: a triangle and a sector.
The area of the triangle can be found using the SAS formula:
A = ½ ab sin C
A = ½ (5 cm) (5 cm) (sin 80°)
A = 12.31 cm²
The sector angle is 360° − 80° = 280°. The area is:
A = (θ / 360) πr²
A = (280 / 360) π (5 cm)²
A = 61.09 cm²
So the total area is:
A = 12.31 cm² + 61.09 cm²
A = 73.4 cm²
