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23 January, 18:35

A circle has its center at the origin and has a diameter of 24 units.

What is the standard equation of the circle?

Question 2 options:

x2+y2=242

x2-y2=122

x2-y2=242

x2+y2=122

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Answers (1)
  1. 23 January, 19:00
    0
    x² + y² = 144

    Step-by-step explanation:

    The general equation of a circle is given as

    (x - a) ² + (y-b) ² = r²

    where a and b are the center of the circle along the x and y axis respectively and r is the radius of the circle.

    Hence a circle that has its center at the origin and has a diameter of 24 units, we can deduce that the values of a, b are 0,0. Also,

    radius = diameter/2

    = 24/2

    = 12 units

    Hence the standard equation of the circle

    (x - 0) ² + (y - 0) ² = 12²

    x² + y² = 144
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