CalculatorCast
数学 金融 健康・フィットネス 日付と時間 単位変換 コンピューター 物理学 化学 建設 工学 統計学 教育 日常生活 生物学 自動車 料理・食品 スポーツ・フィットネス 不動産 写真 電気 農業 旅行 ビジネス
すべての計算機 お気に入り ()
English Español Français Deutsch Português Italiano Nederlands Polski Türkçe 日本語 한국어 Svenska Norsk Dansk Suomi עברית

楕円計算機

楕円の面積、離心率、焦点を求めます。

はじめに

Ellipse Calculator — Compute area, eccentricity, and foci of an ellipse. Enter Semi-major axis, Semi-minor axis to get an instant, accurate result.

計算式

Area = π×a×b. Eccentricity = c/a where c = √(a²−b²). Perimeter is estimated with the Ramanujan approximation: π×(3(a+b) − √((3a+b)(a+3b))), where a and b are the semi-major and semi-minor axes.

ステップごとの説明

  1. Enter the Semi-major axis.
  2. Enter the Semi-minor axis.
  3. Click Calculate to see your result instantly.

実例

Example: With Semi-major axis = 5, Semi-minor axis = 3, the Ellipse Calculator gives Area: 47.1239, Eccentricity: 0.8, Foci Distance: 4.

よくある質問

Why is the perimeter only approximate?
There is no exact elementary formula for an ellipse's perimeter; the Ramanujan formula used here is a highly accurate approximation.
What does eccentricity tell you?
It measures how elongated the ellipse is — 0 is a perfect circle, and values closer to 1 are more stretched.
What inputs does the Ellipse Calculator need?
You'll need to provide: Semi-major axis, Semi-minor axis. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Ellipse Calculator?
The Ellipse Calculator applies the formula exactly as calculated — Area = π×a×b. Eccentricity = c/a where c = √(a²−b²). Perimeter is estimated with the Ramanujan approximation: π×(3(a+b) − √((3a+b)(a+3b))), where a and b are the semi-major and semi-minor axes. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Ellipse Calculator free to use?
Yes, the Ellipse Calculator is completely free, requires no signup, and runs instantly in your browser.

楕円計算機について

The Ellipse Calculator uses a real, verifiable formula — Area = π×a×b. Eccentricity = c/a where c = √(a²−b²). Perimeter is estimated with the Ramanujan approximation: π×(3(a+b) − √((3a+b)(a+3b))), where a and b are the semi-major and semi-minor axes. — so results are accurate every time, not an approximation.