Question

Find the area of the sector MAG in terms of Pi and approximate to the nearest hundredth

Answer 1

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.)