A sector with a radius 7 cm has an area of 49/3 pi cm2. What is the central angle measure of the sector in degrees?

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Mathematics

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22 August, 15:03

A sector with a radius 7 cm has an area of 49/3 pi cm2. What is the central angle measure of the sector in degrees?

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Answers (1)

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Drake Short · Answer 1

120°

Step-by-step explanation:

Area of a sector is:

A = πr² (θ/360°)

Plugging in values and solving:

49/3 π = π (7) ² (θ/360°)

49/3 π = 49π (θ/360°)

1/3 = θ/360°

θ = 120°