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.