If the circumference of a circle measures 3/2pi cm, what is the area of the circle in terms of pi

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If the circumference of a circle measures 3/2pi cm, what is the area of the circle in terms of pi

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Nevaeh 3 months 2022-02-10T05:02:35+00:00 1 Answer 0 views 0

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    2022-02-10T05:04:17+00:00

    The area of circle in terms of pi is [tex]\frac{9}{16}\pi \ cm^2.[/tex]

    Step-by-step explanation:

    Given,

    Circumference of circle = [tex]\frac{3}{2} \pi[/tex]  cm

    Circumference of a circle is calculated by 2πr.

    [tex]2\pi r=\frac{3}{2}\ pi[/tex]

    Dividing both sides by 2π

    [tex]\frac{2\pi r}{2\pi}=\frac{3}{2}\pi *\frac{1}{2\pi}\\r=\frac{3}{4}[/tex]

    The radius of circle is [tex]\frac{3}{4}[/tex]

    Area of circle = πr²

    Area of circle = [tex]\pi *(\frac{3}{4})^2[/tex]

    Area of circle = [tex]\pi *\frac{9}{16}[/tex]

    Area of circle = [tex]\frac{9}{16}\pi[/tex] cm²

    The area of circle in terms of pi is [tex]\frac{9}{16}\pi \ cm^2.[/tex]

    Keywords: area, circle

    Learn more about area at:

    • brainly.com/question/10800566
    • brainly.com/question/10808021

    #LearnwithBrainly

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