write the equation of a circle centered at the origin and passing through the point (3,4)

Question

write the equation of a circle centered at the origin and passing through the point (3,4)

Answer 1

(x - h)² + (y - k)² = r²

 

h = 0

k = 0

 

x² + y² = r²

 

3² + 4² = r²

 

25 = r²

 

r = 5

 

x² + y² = 25