Question

I am a bit confused i need help

Answer 1

1. The value of pi (
`\pi`) correct to 4 decimal places is 3.1416.

2. The value that is nearest to the value of pi (
`\pi`)is A) 355/113.

Pi (
`\pi`) refers to a mathematical constant. It represents the ratio of a circle's circumference to its diameter. It is approximately equal to 3.14159.

The value of pi correct to 10 decimals places = 3.1415926536

The value of pi correct to 4 decimals places = 3.1416

Evaluation of the Options:

A) 355/113 = 3.141592 (correct to 6 decimal places)

B) 22/7 = 3.142857 (correct to 6 decimal places)

C) 135/43 = 3.139535 (correct to 6 decimal places)

D) (62/35)^2 = 3.137959 (correct to 6 decimal places)

Thus, Option A is nearest to the value of pi.

Answer 2

a. The value of pi correct to 4 decimal places is 3.1416.

How can you determine the value nearest to pi among the given options?

b. To determine the value nearest to pi among the given options, we need to calculate the absolute difference between each option and pi (3.1416):

|355/113 - 3.1416| ≈ 0.0332 (largest difference)

|22/7 - 3.1416| ≈ 0.0001 (smallest difference)

|135/43 - 3.1416| ≈ 0.0230 (medium difference)

|(62/35)^2 - 3.1416| ≈ 0.0474 (second largest difference)

Therefore, the value nearest to pi is b) 22/7. It has the smallest absolute difference compared to the other options.