免费圆计算器(进阶)

计算圆的面积、周长、直径,支持弧长和扇形面积。

deg

面积

78.5398

周长31.4159
直径10.0000
Arc Length7.8540

公式

## Circle Calculations ### Formulas - **Area** = pi × r² - **Circumference** = 2 × pi × r - **Sector Area** = pi × r² × (angle / 360) - **Arc Length** = 2 × pi × r × (angle / 360) A sector is a "pie slice" of the circle defined by a central angle.

计算示例

A circle with radius 5, find area and a 90-degree sector.

  1. 01Area = pi × 25 ≈ 78.5398
  2. 02Circumference = 2 × pi × 5 ≈ 31.4159
  3. 03Sector area = 78.5398 × 90/360 ≈ 19.6350
  4. 04Arc length = 31.4159 × 90/360 ≈ 7.8540

常见问题

What is a sector?

A sector is the region between two radii and an arc. Think of it as a "pie slice" of the circle.

How do I find the area if I know the diameter?

Divide the diameter by 2 to get the radius, then use A = pi × r². Alternatively, A = pi × d²/4.

What is the relationship between arc length and sector area?

Both are proportional to the central angle. Sector area = (1/2) × r × arc length.

学习

How to Calculate Percentages - Complete Guide

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