Question 1003433
 A circle of area 24 square units has a sector of area 10 square units. Calculate the central angle formed by sector. 
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Sketch a circle.
Sketch a pie-shaped sector that is about 10/24 = 5/12 of the area of the circle.
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The angle measure around the center is 360 degrees.
Your sector has a central angle of (5/12)(360) = 5*30 = 150 degrees
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Cheers,
Stan H.