Question

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

Answer 1

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 ;