Question

A math exercise states that the circumference of a certain circle is 23.55 inches with diameter d and pi rounded to 3.14. Larry says the diameter is 5​ inches; Rosie says it is 8​ inches; and Rashida says it is 6.5 inches.​ Which, if​ any, of the students is​ correct? Use the equation 3.14dequals23.55 to justify your answer.

Answer 1

None of them are correct.

Diameter of the Circle is 7.5 inches

Explanation:

Given;

Circumference of the Circle = 23.55

`\pi = 3.14`

Formula:

`\textrm {Circumference of the Circle} = 2\pi r`

Substituting the values

`23.55= 2* 3.14* r`

`23.55=7.28r`

`\therefore r= (23.55)/(7.28)`

`\therefore r= 3.23489`

Now diameter is twice the radius

`diameter = 2r`

`\therefore diameter = 2 * 3.23489`

Diameter = 7.5 inches