Circle O has radius of 24 units. Arc XY located on the circle has a central angle of 75 degrees. What is the area of the associated sector, in square units?

The area of the associated sector is: 120π
A sector is the portion of the area of a circle surrounded by an arc and two radii.
Analysis:
Area of a sector = ∅/360 x π[tex]r^{2}[/tex]
∅ = 75°
r = 24 units
Area of sector = 75/360 x π[tex](24)^{2}[/tex] = 120[tex]\pi[/tex] square units
In conclusion, the area of the associated sector is 120π square units
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