The area of a circle is 4π in². What is the circumference, in inches? Express your answer in terms of π.

C = 4π in

Step-by-step explanation:

We require to find the radius r of the circle

Given the area is 4π , then

πr² = 4π ( divide both sides by π )

r² = 4 ( take the square root of both sides )

r = = 2

Then

C = 2πr = 2π × 2 = 4π inches

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.