Linear Equations Question?

Question

We know that perimeter of the circle C = 2pr and its area S = pr^2. Which of these two equations is linear and which is not? Why?

P= Pi and R= Radius

Answer 1

C = 2pr is linear,
if u graph it u'll see that its a straight line(i.e linear!),other one would be a curve.
just remember that if a equations is linear max. value of the exponents are 1.

Answer 2

C=2pR is the linear equation because here the variable(R) is of the power 1.

Answer 3

for easily, just try to insert number to each of them and then draw the graphics.
as you can see, S=pr^2 gives you a parabol line but C=2pr gives you like a linear line.

Solved!!!

Answer 4

the first is linear since the circle's perimeter is proportional to r and if you represent on a graphic perimeter in function of r , you obtain a straight line

The area is a quadratic function of r since r is squared in the formula. The graphic of S against r would be a parabola

Answer 5

the perimeter is a linear equation since the C(perimeter) is directly proportional to r(radius).

the area is a quadratic equation since the S(area) is directly proportional to the sq of r(radius)

Answer 6

C is linear because pi is a constant.
S is not because it has r to the power of two.