How Eratosthenes Measured Earth’s Circumference Without Tools

🌍 Who Calculated the Earth’s Circumference — and How?


🧠 Who did it?

The first person to calculate the Earth’s circumference was Eratosthenes
👨‍🏫 He was a Greek scientist who lived more than 2,200 years ago (around 240 BCE).


📏 What is Earth’s circumference?

  • The circumference is the distance all the way around the Earth.
  • Today we know it is about 40,075 km around the equator.

What’s amazing is that Eratosthenes got very close to this number without satellites or modern tools!


☀️ How did Eratosthenes calculate it?

He used:

  • 🌞 The Sun
  • 📏 Shadows
  • 🧠 Smart thinking

🪜 Step-by-step (simple explanation)

1️⃣ A strange observation

Eratosthenes knew that:

  • In a city called Syene (now Aswan, Egypt),
    • At noon on a certain day, the Sun was directly overhead
    • No shadow was seen at the bottom of a deep well

But in another city…


2️⃣ A shadow appears

  • In Alexandria, at the same time, a stick did cast a shadow
  • He measured the shadow and found the angle was about 7.2°

🧠 This angle is 1/50 of a full circle (360°)


3️⃣ Measuring the distance

  • He knew the distance between Syene and Alexandria
  • It was about 800 km

4️⃣ The big calculation

If 7.2° = 800 km,
then 360° = 800 × 50 = 40,000 km

🎉 That was his answer!


🤯 Why is this so amazing?

  • He didn’t:
    • Travel around the Earth
    • Use satellites 🛰️
    • Use airplanes ✈️
  • He only used:
    • A stick
    • Shadows
    • Math
    • His brain 🧠✨

🧠 Easy to remember

Eratosthenes measured Earth using sunlight and shadows ☀️📏


⭐ Fun facts for kids

  • He lived over 2,000 years ago
  • His answer was very close to today’s measurements
  • This proved the Earth is round
  • He also worked at the Library of Alexandria, one of the greatest libraries ever

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