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21 May, 07:33

Find the radius of the circle whose equation is (x² - 10x + 25) + (y² - 16y + 64) = 16. 4 8 16

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Answers (2)
  1. 21 May, 09:50
    0
    20x + 25 (y - 16y+64) = 16
  2. 21 May, 10:04
    0
    Radius of circle is 4

    Step-by-step explanation:

    The standard equation of circle is

    (x-h) ^2 + (y-k) ^2=r^2

    where (h, k) is the center and r is the radius.

    We are given:

    (x² - 10x + 25) + (y² - 16y + 64) = 16

    we know that a^2-2ab+b^2 = (a-b) ^2

    Using the above formula and converting the given equation into standard form, we get:

    (x-5) ^2 + (y-8) ^2 = (4) ^2

    So, radius of circle is 4.
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