The circumference of the outside of a ring is 66 mm and it has an outer diameter of 21 mm so if the circumference of the inside the ring is 50 mm what is the inner diameter of the rain?

Respuesta :

Answer: The inner diameter of the ring is 16 mm.

Step-by-step explanation:

As we know that ,

Circumference of a circle = [tex]\pi d[/tex] , where d = diameter of the circle .

We are given that ,

The circumference of the outside of a ring is 66 mm and it has an outer diameter of 21 mm .

Now , if circumference of the inside the ring is 50 mm, then we have

[tex]50 = \pi d[/tex] , where d= diameter of the inner circle .

Then , [tex]d=\dfrac{50}{\pi}=\dfrac{50}{\dfrac{22}{7}}=\dfrac{50\times7}{22}\approx15.909090909\approx16\text{ mm}[/tex]

Hence , the inner diameter of the ring is 16 mm.

The diameter of the inner ring is 15.92mm

Circumference of a circle

The formula for calculating the circumference of a circle is expressed as:

C = πd

d is the diameter

Given the following parameters

C = 50mm

The diameter of the inner ring is given as:

d = C/π

d = 50/3.14
d = 15.92mm

Hence the diameter of the inner ring is 15.92mm

Learn more on the circumference of circle here; https://brainly.com/question/20489969