Respuesta :

Answer:

No, its not possible to have 7.2 inches diameter and circumference of 28 inches in the same circle.

Step-by-step explanation:

Given: Diameter= 7.2 inches.

           Circumference= 28 inches.

Now, proving if 7.2 inch diameter and 28 circumference in same circle is possible or not.

We know, Diameter of circle= [tex]2r[/tex] (where r is radius of circle)

As given, diameter is 7.2 inches.

∴ [tex]2r= 7.2\ inches[/tex]

Next, we know, circumference of circle= [tex]2\pi r[/tex]

Which mean, circumference of circle= [tex]\pi (2r)[/tex]

Taking π= 3.14

⇒ circumference of circle= [tex]3.14\times 7.2[/tex]

⇒ circumference of circle= [tex]22.61\ inches[/tex]

As given circumference is 28 inches, which is not equal to 22.61  when we have diameter as 7.2 inches.

It is not possible to have 7.2 inch diameter and 28 inch circumference in same circle.