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Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogram.

Which expression represents the approximate area of the circle?


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Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogram. Which expression represents class=

Verified Answer :

Answer:

Option 1. 9.42×3 in² is the correct option.

Step-by-step explanation:

As it has been given in the question that Kyra has arranged the circle sectors in the shape of a parallelogram.

Side of a parallelogram = 9.42 in. and height of this parallelogram is 3 in.

Now we know the formula of the area of a parallelogram = length × height

Area = 9.42 × 3 in².

So the area of this arrangement of the sectors = 9.42×3 in².

You can use the fact that area of a parallelogram is its base times its height.

The approximate area of the circle is given by \(28.86 \: \: \rm inch^3\)

What is the area of a parallelogram?

The area of a parallelogram is obtained by multiplying its base with its height.

Thus, we have

\(\rm Area_{parallelogram} = Base \times Height \: \: unit^2\)

Using above formula to find the approximate area of the given circle, we get

\(Area_{circle} \approx 9.42 \times 3 = 28.26 \: \rm \: inch^3\)  (since the circle was transformed to a figure which is roughly a parallelogram, and since the total area doesn't decrease if we cut a figure in pieces.

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