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math - 8th grade

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I have a table to complete.Given that points A and B belong to a circle with centre O; If the area of the sector bounded by central angle AOB is 14.13cm squared and the measure of central angle AOB=45cm squared. What is the radius of the disk(cm)and what is the area of the disk(cm squared)

  • math - 8th grade -

    As = (45/360)Ac = 14.13cm^2.

    0.125Ac = 14.13,
    Ac=113.4cm^2 = Area of disk or circle.

    3.14r^2 = 113.4cm^2,
    r^2 = 36,
    r = 6cm = radius of disk.

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