Lesson 6, Topic 2
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# Surface Area of a Cone

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#### Topic Content:

• Surface Area of a Cone

A cone is made or developed from the sector of a circle. When the sector is folded to develop a cone:

Circumference of circular base = length of the arc of the sector

$$\scriptsize 2 \pi r = \normalsize \frac{\theta}{360}\scriptsize \: \times \: 2 \pi l$$

Where r = is the radius of circular base of the cone

l = Slant height of the cone, which is the radius of the sector the cone was developed from.

⇒ $$\scriptsize 2 \pi r = \normalsize \frac{\theta}{360}\scriptsize \: \times \: 2 \pi l$$

divide both sides by 2π

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