Find the area of a segment a segment of a circle whose arc subtends an angle of 22/1/2 on the circumference of a circle, radius 10cm

no idea what "22/1/2" means, but if you meant 22 1/2 ° = π/8 radians, then as usual, the area of the segment subtending an angle θ is

A = 1/2 r^2 (θ - sinθ)
now just plug in your values.