A circle has its center at (−2, 5) and a radius of 4 units. What is the equation of the circle?
The standard form of the equation can be written with the help of center coordinates and radius of the circle, only.
Answer: The required equation of the circle is (x + 2)2 + (y - 5)2 = 16.
We may make use of the standard equation of the circle, to find the correct equation.
Standard form of equation of the circle is given by (x - h)2 + (y - k)2 = r2
Here, we have h = -2, k = 5 and r = radius = 4 units
On putting these values in the standard equation of the circle, we get:
(x + 2)2 + (y - 5)2 = (4)2
(x + 2)2 + (y - 5)2 = 16
You can verify the answer using the equation of circle calculator.