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A circle centered ar the the orgin has a radius of 1/2 what is the equation of the circle

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5 votes

Answer:

The equation of the circle is
x^2 + y^2 = (1)/(4)

Explanation:

Equation of a circle:

The equation of a circle with center
(x_0,y_0) and radius r is given by:


(x - x_0)^2 + (y - y_0)^2 = r^2

Centered at the the origin

Center (0,0), which means that
x_0 = 0, y_0 = 0

radius of 1/2

This means that
r = (1)/(2)

Equation:


(x - x_0)^2 + (y - y_0)^2 = r^2


(x - 0)^2 + (y - 0)^2 = ((1)/(2))^2


x^2 + y^2 = (1)/(4)

The equation of the circle is
x^2 + y^2 = (1)/(4)

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