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2 years ago

A circular plate has a diameter of 9 inches. What is the area of the plate? Explain the steps you follow to get to your answer

Mathematics

1 answer:

Aleks [24]2 years ago

7 0

Answer:

The area of the circular plate is: " 63.59 in² " .

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Note:

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diameter, "d" = 9 in. (given).

radius, "r" = "d/ 2 " = "(9 inches) / 2 " = 4.5 in.

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Area of a circle, "A" :

A = * r² ;

in which: "A = Area of circle ("plate"); in units of "square inches"; or "in² " ;

" = 3.14 " {approximation we shall use} ;

"r = radius = 4.5 in." ;

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Plug in our known values to solve for the area, "A" :

A = (3.14) * (4.5 in)² ;

A = (3.14) * (4.5)² * (in²) ;

A = (3.14) * (4.5) * (4.5) * (in²) ;

A = 63.585 in² ; round to: " 63.59 in² " .

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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This is an arithmetic sequence following the formula;

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Now, a_1 = 7. Thus;

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{ 3,7,15,31,63,...}

Now, let's write out the differences of this sequence:

Differences are:

4, 8, 16, 32

This shows that it is a geometric sequence with a common ratio of 2.

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Thus, a_2 = 2a_1 + 1

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Thus; a_n can be expressed as:

a_n = (2^(n + 1)) - 1

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Answer:

Step-by-step explanation:

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