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Area of sector ≈ 15.6π (nearest tenth)

Step-by-step explanation:

Given:

radius = 5 cm

Central angle in radians = ∅ = 5π/4

Required:

Area of the sector

Solution:

Area of sector = ½*r²*∅

Plug in the values into the formula

Area of sector = ½*5²*5π/4

= ½*25*5π/4

= 12.5*5π/4

= (12.5*5π)/4

Area of sector = 15.625π ≈ 15.6π (nearest tenth)

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