Question

An approximate value of π is given 3.14278152 and its true value is 3.14159265. Find absolute, relative and percentage errors in the value of π

Answer 1

Answer:

Solution:

Absolute error Δx = | True value - Approximate value |

                     Δx = |3.14156 - 3.14| = 0.0056

Relative error = Δx / (True value) = 0.0056 / 3.14156 ≈ 0.00178255389

Percentage error = Relative error * 100% = 0.178255389 %

Step-by-step explanation:

Solution:

Absolute error Δx = | True value - Approximate value |

                     Δx = |3.14156 - 3.14| = 0.0056

Relative error = Δx / (True value) = 0.0056 / 3.14156 ≈ 0.00178255389

Percentage error = Relative error * 100% = 0.178255389 %