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

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

$\pi = 3.14$

Formula:

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

Substituting the values

$23.55= 2\times 3.14\times r$

$23.55=7.28r$

$\therefore r= \frac{23.55}{7.28}$

$\therefore r= 3.23489$

Now diameter is twice the radius

$diameter = 2r$

$\therefore diameter = 2 \times 3.23489$

Diameter = 7.5 inches