The center of the circle is (-10, 4), and the radius is 10 units.
In the equation (x+10)^2 +(y−4)^2 =100, the form (x−h)^2 +(y−k)^2 =r^2 reveals essential information about the circle. Here, the center of the circle is given by the coordinates (−10,4), indicating a horizontal shift of 10 units to the left and a vertical shift of 4 units upward from the origin.
The radius, denoted by r, is 10 units. This implies that any point on the circumference of the circle is 10 units away from its center. Visualizing this circle on a coordinate plane, you would see a circular shape centered at (−10,4) with a radius of 10 units. This geometric representation helps in understanding the spatial characteristics of the given circle.
Complete ques:
The equation of a circle is (x + 10) ² + (y - 4) ² = 100. What are the center and radius of the circle?