We have two circles A and X. The radius and perimeter of the circle A are b and c respectively. The radius and perimeter of the circle

Question

We have two circles A and X. The radius and perimeter of the circle A are b and c respectively.
The radius and perimeter of the circle X are y and z respectively. Consider the following ratios
K=c/b and L=Z/y.
Which of the following statements is true? *
K>L
K
K=L
K=2L

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Bình An 4 years 2021-08-05T16:55:36+00:00 1 Answers 8 views 0

Answers ( )

  1. taiduc
    0
    2021-08-05T16:57:14+00:00
    Reply

    Answer:

    K = L

    Step-by-step explanation:

    Given

    Circle A

    r = b — radius

    p = c —- perimeter

    Circle B

    r = y — radius

    p =z — perimeter

    K = \frac{c}{b}

    L = \frac{z}{y}

    Required

    Select the true option

    The perimeter of a circle is:

    Perimeter = 2\pi r —— the circumference

    So, we have:

    c = 2\pi b — circle A

    z = 2\pi y — circle B

    Calculate K

    K = \frac{c}{b}

    K = \frac{2\pi b}{b}

    K = 2\pi

    Calculate L

    L = \frac{z}{y}

    L = \frac{2\pi y}{y}

    L = 2\pi

    So, we have:

    K = L = 2\pi

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