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Answer:

7.96 square inches.

Step-by-step explanation:

Area of a circle given a circumference is given by formula:

[tex]A = \frac{C^{2}}{4\pi}[/tex]

So substituting into equation we have: [tex]C= 10[/tex].

Therefore [tex]A = 10^{2}/4\pi = 100/4\pi=25/\pi =7.96[/tex] square inches.

The area of the circle is 7.96 square inches if the circumference of a circle is 10 inches.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The circumference of a circle is 10 inches.

As we know the circumference of a circle is given by:

C = 2πr

C is the circumference of the circle.

r is the radius of the circle.

10 = 2πr

r = 5/π inches

As we know,

The area of the circle is given by:

A = πr²

Here, A represents the area of the circle.

Plug the value of the radius r in the above formula:

A = π(5/π)²

A = 25/π square inches

Take π = 3.14

A = 25/3.14

A = 7.96 sqaure inches

Thus, the area of the circle is 7.96 square inches if the circumference of a circle is 10 inches.

Learn more about circle here:

brainly.com/question/11833983

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