Find and simplify the product of the following rational expression
1 answer:
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$\sf\underline\bold\blue{Information\:given\:in\:the\:question:}$
- π =
- $\sf{Diameter = 20inches}$
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$\sf\underline\bold\blue{What\:we\:have\:to\:find?}$
- $\sf{Area\:of\:the\:circle.}$
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$\sf\underline\bold\blue{Answer:}$
- $\sf\small{Area\:of\:the\:circle\:is : 314.15}$
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$\sf\underline\bold\blue{Calculations:}$
Here we have the value of the circle's diameter that is 20inches. So, first we have to calculate the radius of the circle using the formula :
$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{Diameter}{2}$
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$\sf\underline\bold\blue{Calculating\:the\:required\:values:}$
$\mapsto$ $\sf\bold{Radius=}$ $\sf\dfrac{20}{2}$
$\sf{Convert \: to \: the\:lowest\:term(Divide),}$
$\mapsto$ $\sf\underline\bold{Radius=10}$
☆Now we know the value of the radius . So now let's calculate the area of the circle.
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$\sf\bold{Area\:of\:circle:}$ π$\sf{ r \: ^{2} }$
$\sf\bold{Evaluating \: the\:required\:values:}$
$\sf\bold{Area\:of\:circle=3.1415(10)^2}$
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$\sf\bold{Area\:of\:the\:circle=3.1415\times10\times10}$
$\sf\bold{Now,}$
$\sf\bold{Area\:of\:the\:circle:3.1415\times100}$
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$\sf\underline\bold\green{Thus,Area\:of\:the\:circle\: is \: 314.15}$
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