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30 March, 13:05

Write the equation of a circle with a center at (2.5, - 3.5) and a diameter of 12.

Choices are

x + 2.5) 2 + (y - 3.5) 2 = 12

(x - 2.5) 2 + (y + 3.5) 2 = 36

(x + 2.5) 2 + (y - 3.5) 2 = 36

(x - 2.5) 2 + (y + 3.5) 2 = 144

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Answers (1)
  1. 30 March, 13:30
    0
    second option

    Step-by-step explanation:

    The equation of a circle in standard form is

    (x - h) ² + (y - k) ² = r²

    where (h, k) are the coordinates of the centre and r is the radius

    Here diameter = 12, thus radius = 12 : 2 = 6 and (h, k) = (2.5, - 3.5), thus

    (x - 2.5) ² + (y - ( - 3.5)) ² = 6², that is

    (x - 2.5) ² + (y + 3.5) ² = 36 ← equation of circle
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