Answer
16π cm ≈ 50.2655 cm
Step-by-step explanation
To find the circumference of a circle, we can use the equation C = 2πr.
C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.
The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.
Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.
C = 2πr (plug in 8 cm for the radius)
C = 2π * 8
C = 16π cm
Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).
16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value
C = 16π
C ≈ 16 * 3.1416
C ≈ 50.2655 cm rounded to four decimal places
The answer to the question is a
There is no solution for this equation since they have the same slope, x/1. The only difference between these two is that their y intercepts are different meaning that they will be parallel lines that will never intersect among one other. For example, think of it as two separate lines that are have the same slope and never gain more distance/units from one another.
Solve:
To solve, you have to get one of this equations into a Ax+By=C equation form, standard equation. Let’s change y=x+4 into a standard equation.
We have to get x and y together and 4 as C.
So let’s subtract x from both sides;
y=x+4
-x -x
————————
-x+y=4
This is a standard equation.
Now let’s substitute.
take the standard equation and plug in y which is x+4 since there is a equation meaning it’s y=x+4
-x+(x+4)=4
Let’s simplify this mess.
-x+x equals 0. So we are left with 4=4.
Subtract 4 from both sides and we get 0=0
This means there is no solution. Hoped this helped.
