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.