On solving the question, Since r = 10 and the center is (0, 0), the standard form equation of this circle is ([tex](x - 0)^2 + (y - 0)^2 = 10^2[/tex]or just[tex]x^2 + y^2 = 100.[/tex]
Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a straightforward circular form without edges or parts. a curved form with a closed geometry.
As standard form for a circle= [tex](x - h)^2 + (y - k)^2 = r^2,[/tex] and here (h, k) is the center and r is the radius.
[tex](6 - 0)2 + (8 - 0)2 = r2 -- > 62 + 82 = r2 -- > 100 = r2 -- > 10 = r.[/tex]
Since r = 10 and the center is (0, 0), the standard form equation of this circle is ([tex](x - 0)^2 + (y - 0)^2 = 10^2[/tex]or just[tex]x^2 + y^2 = 100.[/tex]
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