The Formulae (Leaving Cert Mathematics): Flashcards

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The Formulae
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Area formula for a rectangle

length×width\text{length} \times \text{width}

Area formula for a triangle

12×base×height\frac{1}{2} \times \text{base} \times \text{height}

Area formula for a circle

πr2\pi r^2 where rr is the radius

Area formula for a parallelogram

base×height\text{base} \times \text{height}

Area formula for a trapezium

12(b1+b2)×h\frac{1}{2}(b_1 + b_2) \times h

Area formula for a sector of a circle

θ360×πr2\frac{\theta}{360^\circ} \times \pi r^2 where θ\theta is the angle in degrees

Volume formula for a rectangular prism (cuboid)

length×width×height\text{length} \times \text{width} \times \text{height}

Volume formula for a cylinder

πr2h\pi r^2 h where hh is the height

Volume formula for a sphere

43πr3\frac{4}{3} \pi r^3

Volume formula for a cone

13πr2h\frac{1}{3} \pi r^2 h

Volume formula for a triangular prism

Area of Base×height\text{Area of Base} \times \text{height}

Volume formula for a pyramid

13×Base Area×height\frac{1}{3} \times \text{Base Area} \times \text{height}

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