Answer:
area = 39.25 cm²
Step-by-step explanation:
The top and bottom area of a cheese wedge is shaped like a sector of a circle so finding the area of the top surface of this wedge is same as applying the area of a sector.
Top surface area(sector) = ∅/360 × πr²
where
∅ = central angle
r = radius
Top surface area(sector) = ∅/360 × πr²
area = 45/360 × π × 10²
area = 1/8 × 100π
area = 100π/8
area = 100 × 3.14/8
area = 314 /8
area = 39.25 cm²