Answer:
1). 113 unit²
2). 28 unit²
3). 22 unit²
Explanation:
Given in the question Radius of the circle = 6 units and measurement of angle ACB = π/2
1). Area of the given circle = πr² = 3.14×(6)² = 3.14×36 = 113 unit²
2). Area of the sector created by ACB = 1/4×(area of the circle) = 1/4×113 = 28 unit²
3). Area of the shaded region of the circle = area of the sector created by ACB - area of the ΔDCE
= 28 - 1/2×3√(25-9)= 28 - 1/2×3×4 = 28 - 6 = 22 unit²