You can use the formula A = C/4 to find the area of a circle given the circumstance. Describe another way to find the area of a circle when

Question

You can use the formula A = C/4 to find the area of a circle given the circumstance. Describe another way to find the area of a circle when given the circumstance. Help please!

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Khang Minh 4 years 2021-09-05T08:33:30+00:00 1 Answers 14 views 0

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  1. thaiduong
    0
    2021-09-05T08:35:26+00:00
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    Answer:

    A = \frac{Cr}{2}

    Step-by-step explanation:

    Given

    A = \frac{C}{4}

    Required

    Describe another way to get area from circumference

    Circumference C is calculated using:

    C = 2\pi r

    Area, A is calculated using:

    A = \pi r^2

    Using: C = 2\pi r

    Divide both sides by 2

    \frac{C}{2} = \frac{2\pi r}{2}

    \frac{C}{2} = \pi r

    Multiply both sides by r

    r*\frac{C}{2} = \pi r*r

    r*\frac{C}{2} = \pi r^2

    \frac{Cr}{2} = \pi r^2

    The expression on the right-hand side is the area.

    So, substitute \pi r^2 for A

    \frac{Cr}{2} = A

    Reorder

    A = \frac{Cr}{2}

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