Question

Write an equation of the circle with center (4, 5) and diameter 10.

Answer 1

`(x-4)^(2) + (y-5)^(2) = 25`

Explanation:

r =
`(Diameter)/(2)`

=
`(10)/(2)`

= 5

Equation of circle with location of center of circle (h, k) and radius r:

`(x-h)^(2) + (y-k)^(2) = r^(2)`

Substituting the values of h, k and r:

`(x-4)^(2) + (y-5)^(2) = 5^(2)`

∴
`(x-4)^(2) + (y-5)^(2) = 25`