Question

19. In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters? A. 3 centimeters B. 1.5 centimeters C. 4 centimeters D. 6 centimeters

Answer 1

A. 3 cm
Because the circumference is equal to diameter times pi
9.42 divide by 3.14 is 3

Answer 2

The size of the buttonhole should be 3 cm.

Explanation:

The circumference is given by =
`2\pi r` 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;

`9.42=2\pi r`

=>
`9.42=2*3.14* r`

=>
`9.42=6.28r`

`r=(9.42)/(6.28)`

r = 1.5 cm

As given that the hole needs to be the size of the button's diameter.

So, diameter =
`1.5*2=3` cm

Therefore, the answer is 3 cm.