Question

B(4,5)

Answer 1

Step-by-step answer:

The general form of an equation centered at O(0,0) is given by

x^2+y^2=r^2

where r is the radius, (x,y) is any point on the circumference.

If B(4,5) lies on the circumference, then we can find the radius of the circle by substitution:

4^2+5^2=r^2

=>

r^2 = 16+26 =41

Hence the equation of a circle centred at O(0,0) and B(4,5) on its circumference is

x^2 + y^2 = 41