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11 November, 22:19

Which equation is the equation of a circle with a diameter of 20 cm and center at (-3, 6) ?

A. (x-3) ^2 + (y+6) ^2 = 400

B. (x-3) ^2 + (y+6) ^2 = 100

C. (x+3) ^2 + (y-6) ^2 = 100

D. (x+3) ^2 + (y-6) ^2 = 400

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  1. 11 November, 23:00
    0
    The equation of a circle with centre (a, b) and radius r is:

    (x - a) ^2 + (y - b) ^2 = r^2

    thus,

    here centre (a, b) = (-3,6), a = - 3, b = 6

    and radius = diameter/2 = 20/2 = 10 units

    therefore, the equation is

    (x + 3) ^2 + (y - 6) ^2 = 100

    which is c.
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