Answer:
x² + y² = 125
Step-by-step explanation:
Equation of circle in standard form:
x² + y² = r²
The circle passes through (-5,10).
Radius of the circle centered at origin is given by,
[tex]\sf r = \sqrt{x^2+y^2}\\\\r= \sqrt{(-5)^2+10^2}\\\\r = \sqrt{25+100}\\\\r=\sqrt{125}[/tex]
Equation of circle,
x² + y²=(√125)²
x² + y² = 125
