Find the equation of a circle centered at 55 and passing thr

Find the equation of a circle centered at (5,5) and passing through the point (7,9.58258).

(Show working and explain)

Solution

Equation of circle is

(x-h)²+ (y-k)²=r²

Here centre is (h,k) and radius=r

Plugging the given values

we get

(-7+5)²+(9.58258-5)²=r²

4 + 21=r²

r=5

Therefore the required equation is

(x+5)² + (y-5)²=25