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10-03-2020
Mathematics

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Find the area of the sector with a central angle of 60° and a radius of 5 inches. Round to the nearest tenth.

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bhuvna789456 bhuvna789456

10-03-2020

Area of the sector is 10 in²

Step-by-step explanation:

Step 1: Find the area of the sector where radius = 5 in and central angle = 60°

Area of the sector = πr² (C/360), where r is radius and C is the central angle

⇒ Area = 3.14 × 5² × (60/360)

= 3.14 × 25 × 1/6

= 78.5/6 = 13.08 in² ≈ 10 in²

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