Find an equation of the circle that satisfies the given conditions. center at the origin; passes through (1,6)

x² + y² = 37

The equation of a circle centred at the origin is.

x² + y² = r² ( where r is the radius)

The radius can be calculated using the distance formula

r = √(x₂ - x₁ )² + (y₂ - y₁)²

where (x₁ , y₁) =(0,0) and (x₂ ,y₂) = (1 ,6)

r = √(1 - 0)² +(6 -0)² = √1 + 36 =√37⇒ r² = (√37)² = 37

x² + y² = 37  is the equation of the circle

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!