Respuesta :
Answer:
(x+3)^2+(y-5)^2=16
Step-by-step explanation:
Equation of a circle is (x-h)^2+(y-k)^2=r^2 where r is the radius and (h,k) is the center.
Given a center of (-3,5) the equation of the circle so far is (x+3)^2+(y-5)^2=r^2
Given a radius of 4, the equation of the circle is (x+3)^2+(y-5)^2=16 (as 4^2 is 16)
The equation represents a circle with center Z(-3,5) and a radius of 4 units will be (x + 3)² + (y – 5)² = 16.
What is an equation of a circle?
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
The equation represents a circle with center Z(-3,5) and a radius of 4 units will be
(x + 3)² + (y – 5)² = 4²
(x + 3)² + (y – 5)² = 16
Learn more about the equation of a circle here:
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