A circle with radius 3 has a sector with a central angle of 60 degrees. What is the area of the sector?
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Answer:
4.71 square units
Step-by-step explanation:
The area of a sector can be computed from the formula ...
A = (1/2)r²θ
where θ is the central angle in radians. Here, that angle is ...
θ = 60° = π/3 radians
so the area is ...
A = (1/2)(3²)(π/3) = (3/2)π = 4.71 . . . . square units