Monica wants to tie a ribbon around the trunk of an oak tree that has a circular trunk about 11 inches in diameter. Not counting the ribbon needed to make a bow, how many inches of ribbon are needed just to reach around the tree?

Respuesta :

Answer:  34.57 inches.

Step-by-step explanation:

Given : Diameter of tree's trunk =  11 inches

Then, the length of ribbon needed just to reach around the tree = Circumference of trunk.

We know that the circumference of the circle is given by :-

[tex]C=\pi d[/tex] , where d= diameter

Then, Circumference of trunk. = [tex]\pi (11)[/tex]

Put [tex]\pi=\dfrac{22}{7}[/tex] , we get

Circumference of trunk. = [tex]\dfrac{22}{7}\times(11)\approx34.57\text{ inches}[/tex]

Hence , the length of ribbon needed just to reach around the tree = 34.57 inches.