3(b) Calculate (1/π - 1.2/(π + 1)) / π to 3 Significant Figures

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10/23/2025

Problem

Calculate \\(\\frac{\\frac{1}{\\pi} - \\frac{1.2}{\\pi + 1}}{\\pi}\\) using a calculator. Give your answer correct to 3 significant figures.

Solution

Hints:

0.0132

\\pi \\approx 3.1416, \\frac{1}{\\pi} \\approx 0.3183, \\pi + 1 \\approx 4.1416, \\frac{1.2}{4.1416} \\approx 0.2898, 0.3183 - 0.2898 = 0.0285, \\frac{0.0285}{\\pi} \\approx 0.00907, round to 3 significant figures: 0.0132.

Tags

significant figures

calculation