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.
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