4(d) Calculate π²/(11.7 × 12.3 + 13.5) to 3 Significant Figures

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10/23/2025

Problem

Calculate \\(\\frac{\\pi^2}{11.7 \\times 12.3 + 13.5}\\) using a calculator. Give your answer correct to 3 significant figures.

Solution

0.0617

11.7 \\times 12.3 = 143.91, 143.91 + 13.5 = 157.41, \\pi^2 \\approx 9.8696, \\frac{9.8696}{157.41} = 0.06269, round to 3 significant figures: 0.0617.

significant figures

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