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

Find The Area Of The Sector MAG In Terms Of Pi And Approximate To The Nearest Hundredth class=

Answer :

Answer:

Area of sector MAG = 35.2π unit² (Approx.)

Step-by-step 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.)

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