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Answer:
28.5 cm^2
Step-by-step explanation:
Area of a sector - Area of the Triangle
Θ = central angle
Formula for Area of a sector:
Θ/360 πr^2
Plug in numbers
90/360 π (10)^2 = 78.5 cm^2
Formula for Area of a triangle
1/2bh
Plug in numbers:
1/2 (10) (10) = 50 cm^2
Now subtract to find the area of the segment:
78.5 - 50 = 28.5 cm^2