A = πr^2. What statement of variation do we get?
Answers
Given : A = πr²
To Find : statement of variation
Solution:
A = πr²
π is constant of variation/proportionality
A ∝ r²
A is in direct variation with square of r
A = area
r = radius
Area is in direct variation with square of radius
Area of circle is directly proportional to square of its radius
Additional Info:
Direct variation if a variable increases then other variable also increases with a constant factor y = kx
inverse variation if a variable increases then other variable decreases with a constant factor xy = k
Joint variation is a relationship between atleast three variables,
where one variable varies directly with all other variables.
y = kxz
Combined Variation is a relationship between three or more variables where it is in direct variation with few variable
and in inverse variation with other variable y = kx/z
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