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what is the area of a shaded segment with an area of 12 and an arch angle of 60

Sagot :

Let A = the area of the whole circle
Let S = the area of the shaded portion

The shaded area is a portion of the circle that is determined by the ratio of the shaded sector to the whole circle of 360 degrees, or
 S = (60/360) 
× A = ( 1 / 6 ) × 12 = 2 ;