Answer: [tex]d = 2.75 cm[/tex]
Step-by-step explanation:
The formula for calculating the circumference of a circle is given as :
[tex]C = 2\pi r[/tex] , where r is the radius
or
[tex]C =\pi d[/tex] , where d is the diameter
using the second formula , since we are finding the diameter.
[tex]C=\pi d[/tex]
that is
[tex]8.64 = d(\frac{22}{7})[/tex]
multiply through by [tex]\frac{7}{22}[/tex]
we have :
[tex]d = \frac{7}{22}(8.64)[/tex] [tex]= 2.749090909[/tex]
rounded to 2 d.p
[tex]d = 2.75 cm[/tex]
