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  • 16-07-2020
  • Mathematics
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Identify the area of segment AOB to the nearest hundredth.

Identify the area of segment AOB to the nearest hundredth class=

Respuesta :

PiaDeveau PiaDeveau
  • 22-07-2020

Answer:

Area of Segment = 3.26 in² (Approx)

Step-by-step explanation:

Given:

Radius (r) = 6 in

Angle (θ) = 60°

Find:

Area of segment

Computation:

Area of Segment = (θ/360)πr² − (1/2)r²sin(θ)

Area of Segment = (60/360)(22/7)(6)² − (1/2)(6)²sin(60)

Area of Segment = (1/6)(22/7)(36) - (0.5)(36)sin(60)

Area of Segment = 18.8571429 - 15.5884573

Area of Segment = 3.2686856

Area of Segment = 3.26 in² (Approx)

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