Question

Write the equation in standard form for the circle passing through (–

5,10) centered at the origin

Answer 1

x² + y² = 125

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,

`\sf r = √(x^2+y^2)\\\\r= √((-5)^2+10^2)\\\\r = √(25+100)\\\\r=√(125)`

Equation of circle,

x² + y²=(√125)²

x² + y² = 125