Question

What is the equation of a circle with center (8, 4) and radius 7?

Answer 1

center(8,4):
 The center of a circle is a point from which all points on a circle are the same distance.
radius7:
 The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".
diameter14:
  The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
Circumference or (or Permieter):
  = 2*π*R = 2*3.14*7 = 43.9822971502571
The circumference of a circle is the distance around it.
Area:153.9380400259
 Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.


The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x-8)2+(y-4)2=72
(x-8)2+(y-4)2=49


The general form for the equation of a circle is
x2 + y2 + Ax + By + c = 0
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x-8)2+(y-4)2=72
(x-8)2+(y-4)2=49
x2-16x+64+y2-8y+16=49
x2+y2-16x-8y+31=0