Given the information below, write the equation in Standard Form.

Circle:

Center (-2, 5)
Radius = 3

Step-by-step explanation:

Equation of a Circle

A circle in the plane is completely defined by two parameters: center and radius. If we know the center is at the point (h,k) and the radius is r, then the equation of the circle is

However, that is not the standard form of an equation, we must ensure the equation is written as

First, let's find the equation by replacing the known parameters of the circle:

To find the standard form, we only need to expand the indicated operations and simplify:

Simplifying

divide by 5

step-by-step explanation:

60/5 = 12

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet