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22 April, 15:40

Which of the following is an equation of the circle in

the xy-plane that has center (0,0) and radius 4?

A) x2 + y2 = 4

B) x2 + y2 = 8

C) x2 + y2 = 16

D) x2 + y2 = 64

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Answers (2)
  1. 22 April, 18:04
    0
    C). x^2 + y^2 = 16.

    Step-by-step explanation:

    The equation of a circle with center (0, 0) and radius r is

    x^2 + y^2 = r^2

    So our equation (with r = 4) is:

    x^2 + y^2 = 4^2

    x^2 + y^2 = 16.
  2. 22 April, 18:51
    0
    C

    Step-by-step explanation:

    The equation of a circle centred at the origin is

    x² + y² = r² ← where r is the radius

    here r = 4, thus

    x² + y² = 4², that is

    x² + y² = 16 → C
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