Determine the effect of changes in the linear dimensions of a figure on other measures of the figure, such as area.
Example How does this make sense?!
The circumference, in inches, of a certain circle is 
, where 
. Which of the following is a possible area of the circle, in square inches?
, where . Which of the following is a possible area of the circle, in square inches?
| C-20.5 | <= 0.5
ReplyDeleteUsing the properties of modulus:
-0.5 <= C-20.5 OR C-20.5 <= 0.5
Solving for the above equations,
Either; C>=20 OR C<=21
Now, C=Circumference=2*Pi*R where R=Radius of the Circle.
Thus, 2*Pi*R>=20 OR 2*Pi*R<=21 => R>={20/[2*Pi]} OR R<={21/[2*Pi]}
Now, We have got two values for "R", the question asks for Area.
Area={Pi*R*R}, Putting the above values of "R", in the area equation,
Area is equal to {100/Pi} OR {441/[4*Pi]}.
The quesion asks for a possible area of the circle, which we have got above, i.e. {100/Pi}.
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