Question

Find the standard form, center, and radius of the following circles

1. x2+y2-4x+8y-5=0
2. 4x2+ 4y2+36y+5=0

Answer 1

Answer: The standard form a circle is (x−h)2+(y−k)2=r2 , where (h,k) is the center of the circle and r is the radius of the circle. Therefore, the center of the circle is at (2,4) and the circle has a radius of 5 .

Explanation: