Question

What is the equation of a circle with center (-10 -10) with a radius of 5?

Answer 1

Answer:

Center:(5,5)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:11

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".

Diameter:22

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*11 = 69.1150383789754

The circumference of a circle is the distance around it.

Area:380.132711084365

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.

Equation

Standard Form

The standard form for the equation oif a circle is

(x-a)2+(y-b)2=r2

And in our particular case:

(x-5)2+(y-5)2=112

(x-5)2+(y-5)2=121

General Form

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-5)2+(y-5)2=112

(x-5)2+(y-5)2=121

x2-10x+25+y2-10y+25=121

x2+y2-10x-10y-71=0