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

Question

asked Jul 23, 2024 3.1k views

1 Answer

Andrei F · Answer 1 · 2024-07-28T04:02:26+0000

Answer:

(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