This circle is centered at the point (4,5), and the length of its radius is 3. What is the equation of the circle? O A. (x - 5)² + (x-4)² = 9 O B. (x + 4)2 + (y + 5)2 = 3 O c. (x-4)² + (x - 5)2 = 9 O D. (x²-4) + (7-5) = 32
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
Center of the circle: ( 4, 5)
Radius of the circle = 3
Determine the equation of the circle.
Solution:
In order to determine the equation of the circle, we look at the two basic equations of the circle.
Equation of the circle with the center at the origin.
x^2 + y^2 = r^2
Equation of the circle with center at any points (h,k)
(x -h)^2 + (y-k)^2 = r^2
Since we are given a point, this means that we will be using the second equation,
(x - 4)^2 + ( y -5)^2 = 3^2
(x - 4)^2 + ( y -5)^2 = 9
Final answer:
C. (x - 4)^2 + ( y -5)^2 = 3^2