Question

Which of the following is an equation of the circle in the standard (x,y) coordinate plane whose center is at (4,-3) and whose radius is 5 coordinate units long?

(G) (x-4)²+(y+3)²=25
(H) (x-3)²+(y+4)²=25
(J) (x+3)²+(y-4)²=5
(K) (x+4)²+(y-3)²=25

Answer 1

The correct equation of the circle with center at (4, -3) and radius of 5 is g. (x - 4)² + (y + 3)² = 25.

Step-by-step explanation:

The question provides information about the center and the radius of a circle and asks for the equation of that circle in the standard coordinate plane. The general formula for a circle in the coordinate plane is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. Given the center of the circle is at (4, -3) and the radius is 5 units, we substitute h = 4, k = -3, and r = 5 into the formula. The correct equation is (x - 4)² + (y + 3)² = 25.