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aivan3 [116]
3 years ago
13

Calculate the area of a circle with a diameter of 8.2 inches. show or explain your reasoning.

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

Area = 52.81 square inches

Step-by-step explanation:

Diameter = 8.2in\\\\Radius = \frac{diameter}{2}=\frac{8.2}{2}=4.1in\\\\Area \ of \ a \ circle = \pi r^2  = \pi \times 4.1^2 = 52.81 in^2

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Step-by-step explanation:

The complete exercise is: "A chicken salad recipe calls for \frac{1}{8} pound of chicken per serving . How many pounds of chicken are needed to make 8\frac{1}{2}  serving".

You can convert the Mixed number to a Decimal number. Divide the numerator 1 by the denominator 2 and then add the quotient to the Whole number. Then, you get:

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Now divide the numerator 1 by the denominator 8 to write the fraction to a Decimal number. Then:

\frac{1}{8}= 0.125

Let be "x" the amount of pounds are needed to make 8\frac{1}{2}  serving.

Then, you can set up the following proportion:

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Solving for "x", you get:

\frac{1}{0.125}=\frac{8.5}{x}\\\\x(\frac{1}{0.125})=8.5\\\\x=8.5*0.125\\\\x=1.0625

or \frac{17}{16}\ pounds

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