Respuesta :

The answer should be 6 inches. :)


r = [tex]\frac{c}{2\pi}[/tex]

so

r = [tex]\frac{37.68}{2\pi}[/tex]

Answer:  r = 6 inches

The circumference of the circle is the perimeter of the circle. The radius of the circle whose perimeter is 37.68inches is 6 inches.

What is circumference?

The circumference of the circle is the perimeter of the circle. It is the length of its boundary. It is given by the formula,

[tex]\text{Circumference of the circle} = 2\pi r[/tex]

where r is the radius of the circle.

As it is given that the circumference of the circle is 37.68 inches, therefore, the radius of the triangle can be given as,

[tex]\text{Circumference of the circle} = 2\pi r[/tex]

Substituting the values, we will get,

[tex]2\pi r = 37.68\\\\r = \dfrac{37.68}{2 \pi}\\\\r = 5.9945 \approx 6[/tex]

Hence, the radius of the circle whose perimeter is 37.68inches is 6 inches.

Learn more about Circumference of the circle:

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