Question

Could 7.2 in in 28 in the diameter of the circumference of the same Circle explain why or why not​

Answer 1

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

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=
`2r` (where r is radius of circle)

As given, diameter is 7.2 inches.

∴
`2r= 7.2\ inches`

Next, we know, circumference of circle=
`2\pi r`

Which mean, circumference of circle=
`\pi (2r)`

Taking π= 3.14

⇒ circumference of circle=
`3.14* 7.2`

⇒ circumference of circle=
`22.61\ inches`

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.