Net of a Cone (Leaving Cert Mathematics): Flashcards

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Net of a Cone
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What is a net?

A 2D representation of a 3D solid laid flat

Two main parts of a cone

Circular base and curved surface tapering to a point

Components of a cone's net

One circle (base) and one sector (curved surface)

What the circle in a cone's net represents

Base of the cone

What the sector in a cone's net represents

Curved surface of the cone

Radius of sector in cone's net equals

Slant height of the cone

rr in cone geometry

Radius of the base

ll in cone geometry

Slant height (radius of larger circle/sector)

Formula for sector angle θ\theta of cone's net

θ=rl×360∘\theta = \frac{r}{l} \times 360^\circ

Formula for area of cone's base

πr2\pi r^2

Formula for curved surface area of cone

πrl\pi r l

Formula for total surface area of cone

πr2+πrl\pi r^2 + \pi r l

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