Find the difference of the areas of two segments of a circle formed by a chord of length 5cm subtending an angle of 90degree at the centre.

Answer 1

a1 = 1/2 r^2 (θ-sinθ) = 25/2 (pi/2 - 1)
a2 = pi r^2 - a1 = 25pi - 25/2 (pi/2 - 1) = 25/4 (3pi + 2)

a2 - a1 = 25/2 (pi+2)