Question

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​

Answer 1

The best expression represents the value of π is
`(37.7)/(12)` ⇒ 2nd answer

Explanation:

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

`(C)/(d)=\pi` , 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

∴
`(C)/(d)=(37.7)/(12)`

∵
`(C)/(d)=\pi`

- Equate the two right hand sides

∴
`(37.7)/(12)=\pi`

∴ The best expression represents the value of π is
`(37.7)/(12)`