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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.

Respuesta :

Answer:

None of them are correct.

Diameter of the Circle is 7.5 inches

Step-by-step explanation:

Given;

Circumference of the Circle = 23.55

[tex]\pi = 3.14[/tex]

Formula:

[tex]\textrm {Circumference of the Circle} = 2\pi r[/tex]

Substituting the values

[tex]23.55= 2\times 3.14\times r[/tex]

[tex]23.55=7.28r[/tex]

[tex]\therefore r= \frac{23.55}{7.28}[/tex]

[tex]\therefore r= 3.23489[/tex]

Now diameter is twice the radius

[tex]diameter = 2r[/tex]

[tex]\therefore diameter = 2 \times 3.23489[/tex]

Diameter = 7.5 inches

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