the formula for the area of a circular segment is based on a central angle measured in radians, not in degrees.
area of a circular segment = sector area - triangle area
What is the area of the shaded portion of the circular segment shown in the
figure below, given a = 50 deg and r = 2 ?
Look up mensuration formula for a circular segment.
a = 50 deg
r = 2
Area for circular segment
r2(a - sina)/2
A = r2(a - sina)/2
a = 50 deg = 50 deg 2
p rad / 360 deg
0.27778 p rad
r = 2
22( 0.27778 p - sin 50)/2
Why did they change 0.2777 and not leave it in degrees
Answer is b) 0.213