1 Answer

Tranceporter · Answer 1 · 2023-06-08T07:06:27+0000

From the given graph,we find that the radius of the circle with center at the origin is r=4 units.

The equation of a circle with cter at the origin is

Here, r is the radius of the circle.

Put r=4 in the above equation.

$\begin{gathered} x^2+y^2=4^2 \\ x^2+y^2=16 \end{gathered}$

Multiply both sides of the above equation by 2.

$\begin{gathered} 2x^2+2y^2=2*16 \\ 2x^2+2y^2=32 \end{gathered}$

Therefore, the equation representing the circle is,

$\begin{gathered} \\ 2x^2+2y^2=32 \end{gathered}$

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