Question

Find the equation of a circle whose centre is (2,5) and radius is 2​

Answer 1

Answer:

x²+y²-4x-10y+5=0

Step-by-step explanation:

Generally circle equation is x²+y²+2gx+2fy+c=0

= center is - g, - f

So,

= x²+y²-4gx-10fy+c=0

Given that radius is 2

We have formula,

R= root g²+f²-c

2= root 4+25-c

Squaring both sides and solving, we get c= 5

Hence it is x²+y²-4x-10y+5=0