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Which of the following represents the standard form of equation of a circle whose center is at the origin? a. 2+2= b. 2+2= 2 c. (−ℎ)2+(−)2= 2 d. (+ℎ)2+(+)2= 2

User Pobrelkey
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Answer:
x^2+y^2=r^2Step-by-step explanation:

The general equation of a circle with center (h, k) and radius, r, is given as:


(x-h)^2+(y-k)^2=r^2

If the center is at the origin:

(h, k) = (0, 0)

Substitute h = 0 and k = 0 into the general equation above


\begin{gathered} (x-0)^2+(y-0)^2=r^2 \\ x^2+y^2=r^2 \end{gathered}

Therefore, the standard form of the equation of a circle whose center is at the origin is:


x^2+y^2=r^2

User Dave Novo
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