Question

Find the Arc Length AND Sector Area from the circle. Use 3.14 for pi. Round your answer to the nearest hundredth.

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Answer 1

Arc Length : 7.85 m

Sector Area : 11.78 m²

Explanation:

Finding arc length :

• 2πr x θ/360
• 2 x 3.14 x 3 x 150/360
• 6.28 x 3 x 5/12
• 6.28 x 5 x 1/4
• 1.57 x 5
• 7.85 m

Finding area of sector :

• πr² x θ/360
• 3.14 x (3)² x 150/360
• 3.14 x 9 x 5/12
• 15.7 x 3/4
• 47.1/4
• 11.78 m² (nearest hundredth)

Answer 2

length= 7.85

area= 11.78

Explanation:

arc length= 150/360 * 6 pi

arc area = 150/360 * pi*3^2