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a circle centered at the origin has a radius of (1)/(2) what is the equation of the cirde? a. x^2+y^2=(1)/(4) b. x^2+y^2=(1)/(2) c.

Question

A circle centered at the origin has a radius of (1)/(2) What is the equation of the cirde? A. x^2+y^2=(1)/(4) B. x^2+y^2=(1)/(2) C. x^2+y^2=1 D. x^2+y^2=2

Solution

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Resposta

The equation of a circle with center at the origin is given by , where is the radius of the circle. In this case, the radius is x^2 + y^2 = \left(\frac{1}{2}\right)^2 = \frac{1}{4} x^{2}+y^{2}=\frac {1}{4}$.