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Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi.

A. 62.8 in[tex]\(^2\)[/tex]

B. 125.6 in[tex]\(^2\)[/tex]

C. 188.4 in[tex]\(^2\)[/tex]

D. 314 in[tex]\(^2\)[/tex]

Answer :

To find the area of a circle, we can use the formula:

[tex]\[ \text{Area} = \pi \times r^2 \][/tex]

where [tex]\(\pi\)[/tex] is approximately 3.14, and [tex]\(r\)[/tex] is the radius of the circle.

Here, we are given the diameter of the circle as 20 inches. The radius is half of the diameter, so:

[tex]\[ r = \frac{\text{diameter}}{2} = \frac{20}{2} = 10 \text{ inches} \][/tex]

Now, substitute the radius and the value of [tex]\(\pi\)[/tex] into the area formula:

[tex]\[ \text{Area} = 3.14 \times (10)^2 \][/tex]

[tex]\[ \text{Area} = 3.14 \times 100 \][/tex]

[tex]\[ \text{Area} = 314 \text{ square inches} \][/tex]

Therefore, the area of the circle is [tex]\(\boxed{314}\)[/tex] square inches.

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Rewritten by : Jeany