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What is the equation of a circle centered at the origin and has a radius equal to 10?

User Robert Lachner
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1 Answer

17 votes
17 votes

The standard form of the equation of a circle is given by:


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

where:

C(h,k) = Center

r = radius

since the circle is centered at the origin and the radius is equal to 10, then:


\begin{gathered} C(h,k)=(0,0) \\ r=10 \\ (x-0)^2+(y-0)^2=10^2 \\ x^2+y^2=100 \end{gathered}

User Carson Reinke
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