Question

Write the equation in standard form for the circle with center (0,5) passing through (9/2,11)

Answer 1

`x^2+(y-5)^2=56.25`

Explanation:

`(x-h)^2+(y-k)^2=r^2\\((9)/(2)-0)^2+(11-5)^2=r^2\\4.5^2+6^2=r^2\\20.25+36=r^2\\56.25=r^2`

Therefore, the equation of the circle is
`x^2+(y-5)^2=56.25`