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Riggoletto’s Portraits specializes in making circular portraits of people. A large portrait is 78 in. in diameter. A medium portrait is 26 in. in diameter. Estimate the difference between the areas of the two sizes of portraits. Use 3.14 for pi Round your answer to the nearest whole number.

Respuesta :

Answer:

[tex]4245.28[/tex]

Step-by-step explanation:

The formula for the are of a circle is [tex]A=[/tex] πr²

however we will substitute 3.14 for π

[tex]d=2r[/tex], diameter is equal to twice the radius of a circle, dividing the radius by 2 will give you the radius, [tex]\frac{d}{2}=r[/tex]

[tex]\frac{78}{2}=39[/tex], [tex]r=39[/tex]

[tex]\frac{26}{2} =13[/tex], [tex]r=13[/tex]

[tex]A=(3.14)(39)^{2}[/tex], [tex]A=4775.94[/tex]

[tex]A=(3.14)(13)^{2}[/tex], [tex]A=530.66[/tex]

We can calculate the difference of the areas through subtraction

[tex]4775.94-530.66=4245.28[/tex]

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