A circle has a sector with area 3/2pi and central angle of 60 what is the area of the circle?

Question

A circle has a sector with area 3/2pi and central angle of 60 what is the area of the circle?

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Aaliyah 19 hours 2021-11-25T11:47:34+00:00 2 Answers 0

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    0
    2021-11-25T11:48:34+00:00

    Answer:

    A = 9\pi

    Step-by-step explanation:

    The total area of the circle is determine by simple rule of three:

    A = \frac{360^{\textdegree}}{60^{\textdegree}} \cdot \left(\frac{3}{2}\pi\right)

    A = 9\pi

    0
    2021-11-25T11:49:16+00:00

    Answer:

    The area of the circle is 9\pi \ units^{2}

    Step-by-step explanation:

    we know that

    A circle has a sector with area 3\pi/2  and central angle of 60 degrees

    The area of a complete circle subtends a central angle of 360\°

    so

    using proportion

    Find the area of the circle

    \frac{(3\pi/2)}{60} =\frac{x}{360}\\ \\x=(3\pi/2)*360/60\\ \\x=9\pi \ units^{2}

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