What will be the equation of the circle with a center at (–4, 9) and a diameter of 10 units?
We can make use of the standard form of the equation of the circle.
Answer: The equation of the circle, can be given as (x + 4)2 + (y - 9)2 = 25.
Go through the step-by-step procedure to get the final equation of the circle.
Given, center coordinates = (-4, 9) and diameter = 10 units.
radius = diameter / 2 = 5 units
Using the standard equation of the circle, which is :
(x - h)2 + (y - k)2 = r2 , where:
h = x coordinate of the center
k = y coordinate of the center
r = radius of the circle.
Thus on substituting the value of h, k, and r in the standard equation, we get:
(x + 4)2 + (y - 9)2 = 52
⇒ (x + 4)2 + (y - 9)2 = 25