Question

Write the equation of the circle with center (0,0) and (3,6) a point on the circle

Answer 1

X^2+y^2=45

Explanation:

Since the equation of a circle is (x – h)^2 + (y – k)^2 = r^2, we can substitute the h and k in which are both 0 and we get x^2+k^2=r^2. Using the Pythagorean theorem to find the radius, we get r^2=45 or r=sqrt(45). So the equation for the circle is x^2+y^2=45.