📐 几何工具

📐 圆周长（C = 2π·r）Circle Circumference 圆周长计算器。输入半径 r，按 C = 2π·r 求圆周长，用于管道周长、轮缘长度与圆环尺寸的快速换算。Circle Circumference - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 圆柱体积（V = π·r²·h）Cylinder Volume 圆柱体积计算器。输入底面半径与高，按 V = πr²h 求圆柱体积，用于罐体、管道与柱体容积的即时计算。Cylinder Volume - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 圆锥体积（V = π·r²·h / 3）Cone Volume 圆锥体积计算器。输入底面半径与高，按 V = πr²h/3 求圆锥体积，用于容器容量、填料量与几何建模的体积估算。Cone Volume - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 圆面积（A = π·r²）Circle Area 圆面积计算器。输入半径 r，按 A = π·r² 求圆面积，用于平面几何、材料下料与截面积等常见面积估算。Circle Area - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 对角线（d = √(w² + h²)）Rectangle Diagonal 矩形对角线计算器。输入宽 w 与高 h，按 d = √(w²+h²) 求对角线长度，用于屏幕、板材与边框的尺寸换算。Rectangle Diagonal - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 弦长（c = 2r·sin(θ/2)）Chord Length 弦长计算器。输入半径与圆心角（弧度），按 c = 2r·sin(θ/2) 求弦长，用于圆内线段、弓形与齿轮等几何设计的长度计算。Chord Length - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 弧长（L = r·θ，θ 为弧度）Arc Length 弧长计算器。输入半径 r 与圆心角 θ（弧度），按 L = r·θ 求圆弧长，支持度转弧度，用于几何、机械与工程制图中的弧段长度计算。Arc Length - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 扇形面积（A = r²·θ / 2，θ 为弧度）Sector Area 扇形面积计算器。输入半径与圆心角（弧度），按 A = r²θ/2 求扇形面积，用于圆扇区、饼图扇区与几何建模的面积计算。Sector Area - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 斜边（c = √(a² + b²)）Pythagorean 勾股定理计算器。输入直角边 a、b，按 c = √(a²+b²) 求斜边长度，用于直角三角形、距离与尺寸的快速求解。Pythagorean - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 梯形面积（A = (a + b)·h / 2）Trapezoid Area 梯形面积计算器。输入上下底 a、b 与高 h，按 A = (a+b)h/2 求梯形面积，用于土地、截面与图形面积估算。Trapezoid Area - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 正多边形面积（A = n·s² / (4·tan(π/n))）Regular Polygon Area 输入边数 n（n≥3）与边长 s，使用公式 A=n·s²/(4·tan(π/n)) 计算正多边形面积，用于地砖、螺母截面、花坛等边数规则形状的面积估算与设计。Regular Polygon Area - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 海伦公式（A = √(s(s−a)(s−b)(s−c))）Triangle Heron 三角形面积计算器（海伦公式）。输入三边长 a、b、c，按半周长 s 求面积 A = √(s(s−a)(s−b)(s−c))，适用于已知三边而不知高的情况。Triangle Heron - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 🥚 由三半轴求椭球体积Ellipsoid Volume 输入椭球的三个半轴 a、b、c，使用公式 V=4/3·π·a·b·c 计算其体积，用于天体、细胞、药丸或储罐等椭球形体的容积估算与三维建模。Ellipsoid Volume - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 🔺 由上下底半径与高求圆台体积Cone Frustum Volume 输入圆台的上底面半径 r、下底面半径 R 与高 h，使用公式 V = πh/3·(R²+Rr+r²) 计算其体积，用于土建、容器设计或数学学习中圆台形体的容积估算。Cone Frustum Volume - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 🧭 由两向量求夹角Angle Between Vectors 两向量夹角计算器。输入两个向量的分量，按 θ = arccos(a·b/(|a||b|)) 求夹角（弧度/角度），用于几何、物理与机器学习中的方向关系计算。Angle Between Vectors - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 🎯 由两向量求数量积与投影Dot Product 2d 输入两个二维向量的分量，计算它们的点积 a·b=a_x·b_x+a_y·b_y，以及向量 a 在 b 上的投影长度，用于力学分解、图形学与向量夹角的几何分析。Dot Product 2d - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 🔲 由两点坐标求空间距离Distance 3d 输入两点 (x1,y1,z1) 与 (x2,y2,z2)，求三维距离。Distance 3d - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📍 由两点求线段中点Midpoint 2d 线段中点计算器。输入两点坐标 (x₁,y₁)、(x₂,y₂)，按 M = ((x₁+x₂)/2, (y₁+y₂)/2) 求中点坐标，用于几何、图形处理与坐标定位。Midpoint 2d - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 🍩 由主半径与管半径求环体体积Torus Volume 输入环面的主半径 R（到管中心距离）与管半径 r，使用公式 V=2·π²·R·r² 计算环体体积，用于甜甜圈形零件、管道弯头或数学模型中环面体的容积估算。Torus Volume - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. ⭕ 由半径求球的体积Sphere Volume 球体积计算器。输入球半径，按 V = (4/3)πr³ 求体积，用于球罐容量、球体物料与几何建模的体积计算。Sphere Volume - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. ⭕ 由半径求球的表面积Sphere Surface Area 球表面积计算器。输入球半径，按 A = 4πr² 求表面积，用于球体包装、热传导面积与几何建模的表面积估算。Sphere Surface Area - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 🔺 由底面积与高求棱锥体积Pyramid Volume 棱锥体积计算器。输入底面积与高，按 V = (1/3)·底面积·高 求棱锥体积，用于棱锥、帐篷与锥台类几何体的体积估算。Pyramid Volume - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. ⬡ 由边数求正多边形每个内角Polygon Interior Angle 正多边形内角计算器。输入边数 n，按 θ = (n−2)·180°/n 求正多边形每个内角，用于多边形绘图、铺砖与几何教学。Polygon Interior Angle - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📦 由边长求体积、表面积、体对角线Cube Properties 输入立方体边长 a，计算其体积 V=a³、表面积 A=6a² 与体对角线 d=a√3，用于几何教学、包装箱设计或三维空间尺寸与材料用量的快速估算。Cube Properties - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📦 由长、宽、高求体积Rectangular Prism Volume 输入长方体的长、宽、高，计算其体积 V=l·w·h 与表面积，用于装箱、房间容积、仓储空间等矩形体对象的尺寸估算与材料用量核算。Rectangular Prism Volume - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 🥚 由长短半轴求椭圆面积Ellipse Area 输入椭圆的长半轴 a 与短半轴 b，使用公式 A=π·a·b 计算其面积，用于机械零件、花坛、轨道截面等椭圆形状的面积估算与图纸标注核对。Ellipse Area - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 距离（d = |Ax₀+By₀+C| / √(A²+B²)）Point Line Distance 输入点 (x₀,y₀) 与直线 Ax+By+C=0 的系数，使用公式 d=|Ax₀+By₀+C|/√(A²+B²) 计算二者最短距离，用于几何作图、碰撞检测与路径规划中的距离判定。Point Line Distance - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools. 📐 顶点（x_v = −b/2a，y_v = f(x_v)）Parabola Vertex 输入二次函数 y=ax²+bx+c 的系数，计算其顶点坐标（x_v=−b/2a，y_v=f(x_v)）与对称轴，用于抛物线轨迹、最值问题与函数图像的教学分析与绘图。Parabola Vertex - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Geometry tools.