Question
The circumference of a circular disk is approximately 67.23 centimeters. The diameter of the disk is 21.4 centimeters.
Which ratio best represents the value of 𝜋?
Which ratio best represents the value of 𝜋?
Answers
GPT 3.5
The ratio that best represents the value of 𝜋 is the ratio of the circumference to the diameter of the disk.
Using the formula for the circumference of a circle, which is C = πd (where C is the circumference, π is the value of 𝜋, and d is the diameter), we can substitute the given values to get:
67.23 = π(21.4)
Dividing both sides by 21.4:
π = 67.23 / 21.4
π ≈ 3.14
Therefore, the best ratio representing the value of 𝜋 is 3.14.
Using the formula for the circumference of a circle, which is C = πd (where C is the circumference, π is the value of 𝜋, and d is the diameter), we can substitute the given values to get:
67.23 = π(21.4)
Dividing both sides by 21.4:
π = 67.23 / 21.4
π ≈ 3.14
Therefore, the best ratio representing the value of 𝜋 is 3.14.