Answer:
Area of sector MAG = 35.2π unit² (Approx.)
Explanation:
Given:
Diameter MP = 26 unit
ARC MG = ARC IP
∠GAI = 30°
Find:
Area of sector MAG
Computation:
Radius = Diameter MP / 2
Radius = 26 / 2
Radius = 13 units
∠MAG = ∠IAP
So,
∠MAG + ∠GAI + ∠IAP = 180
∠MAG + 30 + ∠MAG = 180
2∠MAG = 150
∠MAG = 75°
Area of sector = [θ/360][π][r]²
Area of sector MAG = [75/360][π][13]²
Area of sector MAG = [0.2083][π][169]
Area of sector MAG = 35.2π unit² (Approx.)