Answer:
The size of the buttonhole should be 3 cm.
Step-by-step explanation:
The circumference is given by = [tex]2\pi r[/tex] where r is the radius of the circle.
Given is -
The circumference is given as = 9.42 cm
We can put this value in the formula and get;
[tex]9.42=2\pi r[/tex]
=> [tex]9.42=2\times3.14\times r[/tex]
=>[tex]9.42=6.28r[/tex]
[tex]r=\frac{9.42}{6.28}[/tex]
r = 1.5 cm
As given that the hole needs to be the size of the button's diameter.
So, diameter = [tex]1.5\times2=3[/tex] cm
Therefore, the answer is 3 cm.
