Given that OP is 4cm, and O is 11, the area of the shaded region is 24.5cm²
How do we find the area of the shaded region?
Lets first find the radius
L = r × π/2
11 = r × π/2
11 × 2/π = r
22/(22/7) = 22 × 7/22 = 7
r = 7
Area of shaded region = Area of sector - Area of triangle
θ/360 × πr² - 1/2 × 7 × 4
90/360 ×22/7 × 7 × 7 - 1/2 × 7 × 4
(22 × 7)/4 - 14
(11 × 7)/2 - 14
(77/2) - 14
Area of shaded region = 24.5