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Subsection A.2 Areas and Volumes
Triangles.
\(h=a\sin \theta \)
Area = \(\frac{1}{2}bh\)
Law of Cosines: \(c^2=a^2+b^2-2ab\cos \theta \)
Right Circular Cone.
Volume = \(\frac{1}{3} \pi r^2h\)
Surface Area = \(\pi r\sqrt{r^2+h^2} +\pi r^2\)
Parallelograms.
Area = \(bh\)
Right Circular Cylinder.
Volume = \(\pi r^2h\)
Surface Area =
\(2\pi rh +2\pi r^2\)
Trapezoids.
Area = \(\frac{1}{2}(a+b)h\)
Sphere.
Sphere
Volume = \(\frac{4}{3}\pi r^3\)
Surface Area =\(4\pi r^2\)
Circles.
Area = \(\pi r^2\)
Circumference = \(2\pi r\)
General Cone.
Area of Base = \(A\)
Volume = \(\frac{1}{3}Ah\)
Sectors of Circles.
\(\theta \) in radians
Area = \(\frac{1}{2}\theta r^2\)
\(s=r\theta \)
General Right Cylinder.
Area of Base = \(A\)
Volume = \(Ah\)
