Find parametric equations for the following curve. Include an interval for the parameter values. A circle centered at (−4,4) with radius 11, generated counterclockwise counterclockwise.

Interval:[0,]

Step-by-step explanation:

We are given that

Center of circle=(-4,4)

Radius,r=11 units

We have to find the parametric equations of the given curve.

Where Center of circle

Using the formula

Where

This is required parametric equation of given curve.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.