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
