Question

Write the equation in standard form for the circle passing through (7, 1) centered at the origin

Answer 1

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