Step-by-step explanation:
the standard form of a circle equation is
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle, and r is the radius.
since the center of this circle is the origin (0, 0), we have the simplified version
x² + y² = r²
to get r² we simply use the given point
7² + 1² = r²
49 + 1 = r²
r² = 50
our equation in standard form is therefore
x² + y² = 50
