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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?

2006-12-14 10:42:38 · 4 answers · asked by ninaure 1 in Science & Mathematics Mathematics

4 answers

When a variable is raised to the power of 1, it is linear.

C = 2pi r is linear. r is raised to the power of 1.

S = pi r^2 is not linear. r is raised to the power of 2.

2006-12-14 10:59:06 · answer #1 · answered by Northstar 7 · 0 0

Perimeter of the circle C = 2pr is linear while its area S = pr^2 is not linear.

2006-12-16 12:46:30 · answer #2 · answered by Ranna Renni 2 · 0 0

Puggy is correct: the formula for area is not linear, since it has a second power on the variable (that is, r). Circumference will change with r at the same rate r does, but with area, the area is going to get much bigger much faster than r as r get bigger.

Barjesse37

2006-12-14 18:57:55 · answer #3 · answered by barjesse37 3 · 0 0

Linear is defined to be when the variable is a power of 1.
C = 2*pi*r is linear.

2006-12-14 18:46:43 · answer #4 · answered by Puggy 7 · 0 0

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