Question

0. 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 7.38 centimeters? (Use the value of 3.14 to represent pi.)

Answer 1

The formula for the circumference of a circle is : C =2 x PI x r

Using this formula and the provided information we can find the diameter:

Circumference is given as 7.38 cm
PI is given as 3.14

So now we have:
7.38 = 2 x 3.14 x r

Multiply 2 and 3.14:

7.38 = 6.28 x r

Divide both sides by 6.28:

r = 7.38 / 6.28

r = 1.17516

Diameter = 2 x r

Diameter = 2. 1.17516

Diameter = 2.35 cm

The button hole needs to be 2.35 cm