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4 August, 20:16

What is the area of sector GHJ, given that θ=pi/4 radians? Express your answer in terms of π and as a decimal rounded to the nearest tenth. Show your work.

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  1. 4 August, 20:18
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    Radius of circle = r = 5 cm

    Angle made by the arc = Ф = π/4 radians

    Area of sector = A = ?

    The formula for the area of a sector is:

    A = 0.5r²Ф

    Using the values, we get:

    A = 0.5 x (5) ² x π/4

    A = 3.125π cm²

    Rounded of to nearest tenth, the area of the sector GHJ is 3.1π cm²
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