Answer:
(149625π) / 1512
Explanation:
Area of Sector = (θ/360) * π * r^2
Where θ is the central angle of the sector, π is the value of pi, and r is the radius of the sector
Given:
θ = 299 degrees
π = 3 1/7
r = 15 m
1. Convert the angle θ to radians by multiplying it by (π/180)
θ = 299 degrees * (π/180) = (299π/180) radians
2. Substitute the values into the formula
Area of Sector = ((299π/180)/360) * (3 1/7) * (15^2)
3. Simplify the expression
Area of Sector = (299π/64800) * (22/7) * 225
4. Multiply the fractions and simplify
Area of Sector = (299 * 22 * 225 * π) / (64800 * 7)
Final Answer:
Area of Sector = (149625π) / 1512