Answer: area of the sector is 52.3m²
Step-by-step explanation:
The formula for determining the area of a sector is expressed as
Area = θ/360 × πr²
Where
θ represents the central angle which is formed by the two radii
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
θ = 60 degrees
r = 10 meters
Therefore,
Area = 60/360 × 3.14 × 10²
Area = 60/360 × 3.14 × 100
Area = 52.333
Rounding up to 1 decimal place, it becomes
52.3m²