Home/Calculus II/Polar coordinates/Polar areaSection 13.2Polar areaFormulavizCopy LaTeXA=12∫αβr(θ)2 dθ.A=\frac12\int_{\alpha}^{\beta}r(\theta)^2\,d\theta.A=21∫αβr(θ)2dθ.View detail →Between two curves, with rext≥rintr_{\mathrm{ext}}\ge r_{\mathrm{int}}rext≥rint:Copy LaTeXA=12∫αβ[rext(θ)2−rint(θ)2] dθ.A=\frac12\int_{\alpha}^{\beta} [r_{\mathrm{ext}}(\theta)^2-r_{\mathrm{int}}(\theta)^2]\,d\theta.A=21∫αβ[rext(θ)2−rint(θ)2]dθ.View detail →
FormulavizCopy LaTeXA=12∫αβr(θ)2 dθ.A=\frac12\int_{\alpha}^{\beta}r(\theta)^2\,d\theta.A=21∫αβr(θ)2dθ.View detail →
Between two curves, with rext≥rintr_{\mathrm{ext}}\ge r_{\mathrm{int}}rext≥rint:Copy LaTeXA=12∫αβ[rext(θ)2−rint(θ)2] dθ.A=\frac12\int_{\alpha}^{\beta} [r_{\mathrm{ext}}(\theta)^2-r_{\mathrm{int}}(\theta)^2]\,d\theta.A=21∫αβ[rext(θ)2−rint(θ)2]dθ.View detail →