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常用几何图形参数计算表序号图形名称图式参数代号参数值名称计算公式计算值1任意三角形a4面积(A)A=b*h/26.000b5A=sqrt((s*(s-a)*(s-b)*(s-c))6.000c3角度(°)∠A=acos((b^2+c^2-a^2)/(2*b*c))53.130°h2.4∠B=acos((a^2+c^2-b^2)/(2*a*c))90.000°s6∠C=acos((b^2+a^2-c^2)/(2*a*b))36.870°2正n边形n6圆心角(α)α=360/n60.000°内角(β)β=180-α=180*(n-2)/n120.000°s0.26面积(A)A=n*s*r/20.176外接圆(R)R=(s/2)/sin(α/2)0.260内切圆(r)r=(s/2)/tan(α/2)0.225R1面积(A)A=n*R^2*sin(α/2)*cos(α/2)2.598边长(s)s=2*R*sin(α/2)1.0003扇形r9l6面积(A)A=l*r/227.000圆心角(α)α=l/r38.197°α(°)135面积(A)A=0.008727*α*r^295.426弧长(l)l=0.01745*α*r21.2064弓形r15h3面积(A)A=(l*r-c*(r-h))/236.788弧长(l)l=2*r*asin(c/(2*r))19.305弦长(c)c=2*sqrt(h*(2*r-h))18.000c15面积(A)A=(l*r-c*(r-h))/220.382弧长(l)l=2*r*asin(c/(2*r))15.708矢高(h)h=r-sqrt(r^2-c^2/4)2.0105角缘面积R60面积(A)A=R^2*(tan(α/2)-pi()*α/360)107.911α(°)506椭圆a6面积(A)A=PI()*a*b75.398b4周长(S)S≈pi()*sqrt(2*(a^2+b^2)-(a-b)^2/22)32.0107椭圆角缘a8面积(A)A=a*b*(1-pi()/4)6.867b48抛物线a5面积(A)A=4/3*a*b20.000b3348.8569台体n7上面积(A1)A1=n*a1^2/tan(pi()/n)/432.705h5下面积(A2)A2=n*a2^2/tan(pi()/n)/458.143a13侧面积(As)As=n*(a1+a2)*h1/2125.113a24体积(V)V=h*(A1+A2+sqrt(A1*A2))/6112.046A1100体积(V)V=h*(A1+A2+sqrt(A1*A2))/6280.669A212510截头圆柱R5倾角(α)α=atan((h2-h1)/2/R)11.310°h17斜径(D)D=sqrt((h2-h1)^2+4*R^2)10.198h29体积(V)V=pi()*R^2*(h1+h2)/2628.31911球r6体积(V)V=4*pi()*r^3/3904.779表面积(A)A=4*pi()*r^2452.389直径(D)D=2*r12.000D12体积(V)V=pi()*D^3/6904.779表面积(A)A=pi()*D^2452.38912球冠r10体积(V)V=pi()*h^2*(3*r-h)/3904.779h6侧面积(As)As=2*pi()*r*h376.991a10体积(V)V=pi()*h*(a^2+r^2-r*sqrt(r^2-a^2))/31256.637侧面积(As)As=2*pi()*r*(r-sqrt(r^2-a^2))628.31913契形体a6体积(V)V=(2*a+c)*b*h/675.000b5c6h514棱柱体A14体积(V)V=l*(A1+4*Am+A2)/612.000A24Am4l315路基坡道n1体积(V)V=i^2*l^2*(3*a+2*n*i*l*(1-n*I))*(1/i-n)/6865.885i0.05a13