the earth so that it forms a larger circle – Discussion Forum

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Ayushree

Asked: October 6, 2026In: Class 9 Maths

Suppose the Earth is perfectly spherical. A string is wrapped tightly around the equator of the Earth. Another string, 1 metre longer, is placed around the Earth so that it forms a larger circle, staying the same distance above the ground everywhere. How high above the ground is the second string? Repeat this for: (i) the Moon (ii) Jupiter (iii) a volleyball. Are you surprised by the three answers? Why or why not?

The height is 1 / (2π) ≈ 0.16 m (about 16 cm) for all cases, because radial difference Δr = ΔC / (2π) depends only on added length, entirely independent of the sphere’s radius. Ganita Manjari Part 2 Class 9 Chapter ...