The circumference of a circle is about 37.7 cm and the diameter is about 12 cm. What expression best represents the value of π?



6/37.7

37.7/12

37.7/6

12/37.7​

Respuesta :

Answer:

The best expression represents the value of π is  [tex]\frac{37.7}{12}[/tex] ⇒ 2nd answer

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

[tex]\frac{C}{d}=\pi[/tex] , where

  • C is the circumference of the circle
  • d is the diameter of the circle

∵ The circumference of the circle is about 37.7 cm

∵ The diameter of the circle is about 12 cm

- Find the ratio between them

∴ [tex]\frac{C}{d}=\frac{37.7}{12}[/tex]

∵ [tex]\frac{C}{d}=\pi[/tex]

- Equate the two right hand sides

∴  [tex]\frac{37.7}{12}=\pi[/tex]

The best expression represents the value of π is  [tex]\frac{37.7}{12}[/tex]