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# Areas and volumes

Source:
The Concise Oxford Dictionary of Mathematics

# Areas and volumes

(For unexplained notation, see under the relevant reference.)

Rectangle, length a, width b:

Area = ab.

Parallelogram:

Area = bh = ab sin θ‎.

Triangle:

Area  = $12$base×height  = $12$bc sin A.

Trapezium:

Area  = $12$h(a + b).

Area = π‎r2.

Length of circumference = 2π‎r.

Right-circular cylinder, radius r, height h:

Volume = π‎r2h,

Curved surface area = 2π‎rh.

Volume = $13$π‎r2 h,

Curved surface area = π‎rl.

Frustum of a cone:

Volume  = $13$π‎h(a2 + ab + b2),

Curved surface area = π‎(a + b)l.

Volume = $43$ π‎r3,