Write the equation in standard form for the circle passing through (0,7) centered at the origin.

Answer 1

The standard equation for a circle is (x-h)²+(y-k)²=r²

The center at the origin means (h,k) = (0,0)

Since it goes through the point (0,7), the radius must be 7.

Plugging everything into the equation

(x-0)²+(y-0)²=(7)² Simplifying

x²+y²=49