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

Question

asked Jan 27, 2021 167k views

1 Answer

Vitaly Borisov · Answer 1 · 2021-02-01T14:49:05+0000

Answer:

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=
(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.